Multi-parameter Singular Integrals. (AM-189), Volume I /

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...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Street, Brian,
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.
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245 1 0 |a Multi-parameter Singular Integrals. (AM-189), Volume I /  |c Brian Street. 
250 |a Course Book 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2014] 
264 4 |c ©2015 
300 |a 1 online resource (416 p.) :  |b 7 line illus. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 0 |a Annals of Mathematics Studies ;  |v 189 
505 0 0 |t Frontmatter --   |t Contents --   |t Preface --   |t 1. The Calderón-Zygmund Theory I: Ellipticity --   |t 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity --   |t 3. Multi-parameter Carnot-Carathéodory Geometry --   |t 4. Multi-parameter Singular Integrals I: Examples --   |t 5. Multi-parameter Singular Integrals II: General Theory --   |t Appendix A. Functional Analysis --   |t Appendix B. Three Results from Calculus --   |t Appendix C. Notation --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Singular integrals. 
650 0 |a Transformations (Mathematics). 
650 7 |a MATHEMATICS / Calculus.  |2 bisacsh 
653 |a CaldernКygmund singular integrals. 
653 |a CaldernКygmund. 
653 |a CarnotЃarathodory balls. 
653 |a CarnotЃarathodory geometry. 
653 |a CarnotЃarathodory metric. 
653 |a Euclidean singular integral operators. 
653 |a Frobenius theorem. 
653 |a Frobenius. 
653 |a LittlewoodАaley theory. 
653 |a Schwartz space. 
653 |a Sobolev spaces. 
653 |a convolution. 
653 |a elliptic partial differential equations. 
653 |a elliptic partial differential operators. 
653 |a flag kernels. 
653 |a invariant operators. 
653 |a linear partial differential equation. 
653 |a non-homogeneous kernels. 
653 |a pseudodifferential operators. 
653 |a singular integral operator. 
653 |a singular integral operators. 
653 |a singular integrals. 
653 |a strengthened cancellation. 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press Complete eBook-Package 2014-2015  |z 9783110665925 
776 0 |c print  |z 9780691162515 
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