UID:
almahu_9949462261902882
Format:
1 online resource (449 p.)
ISBN:
9783110281903
,
9783110494938
Series Statement:
De Gruyter Studies in Mathematics , 52
Content:
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.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
1. The Poisson integral and Hardy spaces --
,
2. Subharmonic functions and Hardy spaces --
,
3. Subharmonic behavior and mixed norm spaces --
,
4. Taylor coefficients with applications --
,
5. Besov spaces --
,
6. The dual of H1 and some related spaces --
,
7. Littlewood-Paley theory --
,
8. Lipschitz spaces of first order --
,
9. Lipschitz spaces of higher order --
,
10. One-to-one mappings --
,
11. Coefficients multipliers --
,
12. Toward a theory of vector-valued spaces --
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A. Quasi-Banach spaces --
,
B. Interpolation and maximal functions --
,
Bibliography --
,
Index
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Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013, De Gruyter, 9783110317350
In:
E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013, De Gruyter, 9783110317282
In:
E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013, De Gruyter, 9783110317275
Additional Edition:
ISBN 9783110281231
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110281903
URL:
https://doi.org/10.1515/9783110281903
URL:
https://www.degruyter.com/isbn/9783110281903
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