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Function Classes on the Unit Disc : an Introduction.
Themonograph contains a study on various function classes, a number of new results and new or easy proofs of old result (Fefferman Stein theorem on subharmonic behavior, theorem on conjugate functions on Bergman spaces), which might be interesting for specialists, a full discussion on g-function (al...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
[2013]
|
| Colección: | De Gruyter studies in mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Pavlovic, Miroslav, |e author. | |
| 245 | 1 | 0 | |a Function Classes on the Unit Disc : |b an Introduction. |
| 264 | 1 | |a Berlin : |b De Gruyter, |c [2013] | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (xiii, 449 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Studies in Mathematics | |
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Themonograph contains a study on various function classes, a number of new results and new or easy proofs of old result (Fefferman Stein theorem on subharmonic behavior, theorem on conjugate functions on Bergman spaces), which might be interesting for specialists, a full discussion on g-function (all p> 0), and a treatment of lacunary series with values in quasi-Banach spaces. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface / |r Pavlović, Miroslav -- |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 H -- |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. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Function spaces. | |
| 650 | 0 | |a Banach spaces. | |
| 650 | 0 | |a Poisson integral formula. | |
| 650 | 0 | |a Hardy spaces. | |
| 650 | 0 | |a Lipschitz spaces. | |
| 650 | 4 | |a Banach spaces. | |
| 650 | 4 | |a Function spaces. | |
| 650 | 4 | |a Functional analysis. | |
| 650 | 4 | |a Hardy spaces. | |
| 650 | 4 | |a Lipschitz spaces. | |
| 650 | 4 | |a Poisson integral formula. | |
| 650 | 4 | |a Mathematik. | |
| 650 | 6 | |a Analyse fonctionnelle. | |
| 650 | 6 | |a Espaces fonctionnels. | |
| 650 | 6 | |a Espaces de Banach. | |
| 650 | 6 | |a Espaces de Hardy. | |
| 650 | 6 | |a Espaces de Lipschitz. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Banach spaces |2 fast | |
| 650 | 7 | |a Function spaces |2 fast | |
| 650 | 7 | |a Functional analysis |2 fast | |
| 650 | 7 | |a Hardy spaces |2 fast | |
| 650 | 7 | |a Lipschitz spaces |2 fast | |
| 650 | 7 | |a Poisson integral formula |2 fast | |
| 650 | 7 | |a Komplexe Funktion |2 gnd | |
| 650 | 7 | |a Analytische Funktion |2 gnd | |
| 758 | |i has work: |a Function classes on the unit disc (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGfM4rtC9bB7pbXyGT7TH3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Pavlovic, Miroslav. |t Function Classes on the Unit Disc : An Introduction. |d Berlin : De Gruyter, ©2013 |z 9783110281231 |
| 830 | 0 | |a De Gruyter studies in mathematics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1130360 |z Texto completo |
| 880 | |6 520-00/(S |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. | ||
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| 938 | |a De Gruyter |b DEGR |n 9783110281903 | ||
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