Function Classes on the Unit Disc : : An Introduction / / Miroslav Pavlović.
This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are inte...
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Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2013] ©2014 |
Year of Publication: | 2013 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
52 |
Online Access: | |
Physical Description: | 1 online resource (449 p.) |
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100 | 1 | |a Pavlović, Miroslav, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Function Classes on the Unit Disc : |b An Introduction / |c Miroslav Pavlović. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2013] | |
264 | 4 | |c ©2014 | |
300 | |a 1 online resource (449 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Studies in Mathematics , |x 0179-0986 ; |v 52 | |
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t 1. The Poisson integral and Hardy spaces -- |t 2. Subharmonic functions and Hardy spaces -- |t 3. Subharmonic behavior and mixed norm spaces -- |t 4. Taylor coefficients with applications -- |t 5. Besov spaces -- |t 6. The dual of H1 and some related spaces -- |t 7. Littlewood–Paley theory -- |t 8. Lipschitz spaces of first order -- |t 9. Lipschitz spaces of higher order -- |t 10. One-to-one mappings -- |t 11. Coefficients multipliers -- |t 12. Toward a theory of vector-valued spaces -- |t A. Quasi-Banach spaces -- |t B. Interpolation and maximal functions -- |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 monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are interesting for specialists; applications of the Hardy-Littlewood inequalities on Taylor coefficients to (C, α)-maximal theorems and (C, α)-convergence; a study of BMOA, due to Knese, based only on Green's formula; the problem of membership of singular inner functions in Besov and Hardy-Sobolev spaces; a full discussion of g-function (all p › 0) and Calderón's area theorem; a new proof, due to Astala and Koskela, of the Littlewood-Paley inequality for univalent functions; and new results and proofs on Lipschitz spaces, coefficient multipliers and duality, including compact multipliers and multipliers on spaces with non-normal weights. It also contains a discussion of analytic functions and lacunary series with values in quasi-Banach spaces with applications to function spaces and composition operators. Sixteen open questions are posed. The reader is assumed to have a good foundation in Lebesgue integration, complex analysis, functional analysis, and Fourier series. Further information can be found at the author's website at http://poincare.matf.bg.ac.rs/~pavlovic. | ||
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 28. Feb 2023) | |
650 | 0 | |a Banach spaces. | |
650 | 0 | |a Function spaces. | |
650 | 0 | |a Functional analysis. | |
650 | 0 | |a Poisson integral formula. | |
650 | 4 | |a Bergman spaces. | |
650 | 4 | |a H^p spaces. | |
650 | 4 | |a Hardy spaces. | |
650 | 4 | |a L^p spaces. | |
650 | 4 | |a Quasinormed spaces. | |
650 | 4 | |a harmonic functions. | |
650 | 7 | |a MATHEMATICS / Functional Analysis. |2 bisacsh | |
653 | |a Bergman Space. | ||
653 | |a Besov-Lipschitz Space. | ||
653 | |a Bounded Mean Oscillation. | ||
653 | |a Hardy Space. | ||
653 | |a Littlewood-Paley g-Function. | ||
700 | 1 | |a Pavlović, Miroslav, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Studies in Mathematics eBook-Package |z 9783110494938 |o ZDB-23-GSM |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013 |z 9783110317282 |o ZDB-23-DMI |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013 |z 9783110317275 |o ZDB-23-DMP |
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856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110281903/original |
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