Multi-parameter Singular Integrals. (AM-189), Volume I / / Brian Street.
This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-para...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©2015 |
Year of Publication: | 2014 |
Edition: | Course Book |
Language: | English |
Series: | Annals of Mathematics Studies ;
189 |
Online Access: | |
Physical Description: | 1 online resource (416 p.) :; 7 line illus. |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9781400852758 |
---|---|
ctrlnum |
(DE-B1597)447457 (OCoLC)881286436 |
collection |
bib_alma |
record_format |
marc |
spelling |
Street, Brian, author. aut http://id.loc.gov/vocabulary/relators/aut Multi-parameter Singular Integrals. (AM-189), Volume I / Brian Street. Course Book Princeton, NJ : Princeton University Press, [2014] ©2015 1 online resource (416 p.) : 7 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 189 Frontmatter -- Contents -- Preface -- 1. The Calderón-Zygmund Theory I: Ellipticity -- 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- 3. Multi-parameter Carnot-Carathéodory Geometry -- 4. Multi-parameter Singular Integrals I: Examples -- 5. Multi-parameter Singular Integrals II: General Theory -- Appendix A. Functional Analysis -- Appendix B. Three Results from Calculus -- Appendix C. Notation -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Singular integrals. Transformations (Mathematics). MATHEMATICS / Calculus. bisacsh CaldernКygmund singular integrals. CaldernКygmund. CarnotЃarathodory balls. CarnotЃarathodory geometry. CarnotЃarathodory metric. Euclidean singular integral operators. Frobenius theorem. Frobenius. LittlewoodАaley theory. Schwartz space. Sobolev spaces. convolution. elliptic partial differential equations. elliptic partial differential operators. flag kernels. invariant operators. linear partial differential equation. non-homogeneous kernels. pseudodifferential operators. singular integral operator. singular integral operators. singular integrals. strengthened cancellation. Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 9783110665925 print 9780691162515 https://doi.org/10.1515/9781400852758 https://www.degruyter.com/isbn/9781400852758 Cover https://www.degruyter.com/document/cover/isbn/9781400852758/original |
language |
English |
format |
eBook |
author |
Street, Brian, Street, Brian, |
spellingShingle |
Street, Brian, Street, Brian, Multi-parameter Singular Integrals. (AM-189), Volume I / Annals of Mathematics Studies ; Frontmatter -- Contents -- Preface -- 1. The Calderón-Zygmund Theory I: Ellipticity -- 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- 3. Multi-parameter Carnot-Carathéodory Geometry -- 4. Multi-parameter Singular Integrals I: Examples -- 5. Multi-parameter Singular Integrals II: General Theory -- Appendix A. Functional Analysis -- Appendix B. Three Results from Calculus -- Appendix C. Notation -- Bibliography -- Index |
author_facet |
Street, Brian, Street, Brian, |
author_variant |
b s bs b s bs |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Street, Brian, |
title |
Multi-parameter Singular Integrals. (AM-189), Volume I / |
title_full |
Multi-parameter Singular Integrals. (AM-189), Volume I / Brian Street. |
title_fullStr |
Multi-parameter Singular Integrals. (AM-189), Volume I / Brian Street. |
title_full_unstemmed |
Multi-parameter Singular Integrals. (AM-189), Volume I / Brian Street. |
title_auth |
Multi-parameter Singular Integrals. (AM-189), Volume I / |
title_alt |
Frontmatter -- Contents -- Preface -- 1. The Calderón-Zygmund Theory I: Ellipticity -- 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- 3. Multi-parameter Carnot-Carathéodory Geometry -- 4. Multi-parameter Singular Integrals I: Examples -- 5. Multi-parameter Singular Integrals II: General Theory -- Appendix A. Functional Analysis -- Appendix B. Three Results from Calculus -- Appendix C. Notation -- Bibliography -- Index |
title_new |
Multi-parameter Singular Integrals. (AM-189), Volume I / |
title_sort |
multi-parameter singular integrals. (am-189), volume i / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2014 |
physical |
1 online resource (416 p.) : 7 line illus. Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Preface -- 1. The Calderón-Zygmund Theory I: Ellipticity -- 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- 3. Multi-parameter Carnot-Carathéodory Geometry -- 4. Multi-parameter Singular Integrals I: Examples -- 5. Multi-parameter Singular Integrals II: General Theory -- Appendix A. Functional Analysis -- Appendix B. Three Results from Calculus -- Appendix C. Notation -- Bibliography -- Index |
isbn |
9781400852758 9783110494914 9783110665925 9780691162515 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA329 |
callnumber-sort |
QA 3329.6 S77 42017 |
url |
https://doi.org/10.1515/9781400852758 https://www.degruyter.com/isbn/9781400852758 https://www.degruyter.com/document/cover/isbn/9781400852758/original |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.98 |
dewey-sort |
3515.98 |
dewey-raw |
515.98 |
dewey-search |
515.98 |
doi_str_mv |
10.1515/9781400852758 |
oclc_num |
881286436 |
work_keys_str_mv |
AT streetbrian multiparametersingularintegralsam189volumei |
status_str |
n |
ids_txt_mv |
(DE-B1597)447457 (OCoLC)881286436 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 |
is_hierarchy_title |
Multi-parameter Singular Integrals. (AM-189), Volume I / |
container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
_version_ |
1806143583671025664 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05154nam a22010335i 4500</leader><controlfield tag="001">9781400852758</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20220131112047.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">220131t20142015nju fo d z eng d</controlfield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)979911043</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400852758</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400852758</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)447457</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)881286436</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA329.6</subfield><subfield code="b">.S77 2017</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT005000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515.98</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/143245:</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Street, Brian, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Multi-parameter Singular Integrals. (AM-189), Volume I /</subfield><subfield code="c">Brian Street.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Course Book</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2014]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (416 p.) :</subfield><subfield code="b">7 line illus.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Annals of Mathematics Studies ;</subfield><subfield code="v">189</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">1. The Calderón-Zygmund Theory I: Ellipticity -- </subfield><subfield code="t">2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- </subfield><subfield code="t">3. Multi-parameter Carnot-Carathéodory Geometry -- </subfield><subfield code="t">4. Multi-parameter Singular Integrals I: Examples -- </subfield><subfield code="t">5. Multi-parameter Singular Integrals II: General Theory -- </subfield><subfield code="t">Appendix A. Functional Analysis -- </subfield><subfield code="t">Appendix B. Three Results from Calculus -- </subfield><subfield code="t">Appendix C. Notation -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Singular integrals.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Transformations (Mathematics).</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Calculus.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">CaldernКygmund singular integrals.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">CaldernКygmund.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">CarnotЃarathodory balls.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">CarnotЃarathodory geometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">CarnotЃarathodory metric.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Euclidean singular integral operators.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Frobenius theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Frobenius.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">LittlewoodАaley theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Schwartz space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sobolev spaces.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">convolution.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">elliptic partial differential equations.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">elliptic partial differential operators.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">flag kernels.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">invariant operators.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">linear partial differential equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">non-homogeneous kernels.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">pseudodifferential operators.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">singular integral operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">singular integral operators.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">singular integrals.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">strengthened cancellation.</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton Annals of Mathematics eBook-Package 1940-2020</subfield><subfield code="z">9783110494914</subfield><subfield code="o">ZDB-23-PMB</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton University Press Complete eBook-Package 2014-2015</subfield><subfield code="z">9783110665925</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780691162515</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400852758</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400852758</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9781400852758/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-066592-5 Princeton University Press Complete eBook-Package 2014-2015</subfield><subfield code="c">2014</subfield><subfield code="d">2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_PPALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-PMB</subfield><subfield code="c">1940</subfield><subfield code="d">2020</subfield></datafield></record></collection> |