Limit search to available items
Book Cover
E-book
Author Pavlovic, Miroslav, author

Title Function Classes on the Unit Disc : an Introduction
Published Berlin : De Gruyter, [2013]
©2013

Copies

Description 1 online resource (xiii, 449 pages)
Series De Gruyter Studies in Mathematics
De Gruyter studies in mathematics.
Contents Frontmatter -- Preface / Pavlović, Miroslav -- 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 H -- 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 -- A. Quasi-Banach spaces -- B. Interpolation and maximal functions -- Bibliography -- Index
Summary 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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Functional analysis.
Function spaces.
Banach spaces.
Poisson integral formula.
Hardy spaces.
Lipschitz spaces.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Banach spaces
Function spaces
Functional analysis
Hardy spaces
Lipschitz spaces
Poisson integral formula
Komplexe Funktion
Analytische Funktion
Form Electronic book
ISBN 9783110281903
3110281902
3110281910
9783110281910