Function Classes on the Unit Disc : an Introduction.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- text
- computer
- online resource
- 9783110281903
- 3110281902
- 3110281910
- 9783110281910
- Functional analysis
- Function spaces
- Banach spaces
- Poisson integral formula
- Hardy spaces
- Lipschitz spaces
- Banach spaces
- Function spaces
- Functional analysis
- Hardy spaces
- Lipschitz spaces
- Poisson integral formula
- Mathematik
- Analyse fonctionnelle
- Espaces fonctionnels
- Espaces de Banach
- Espaces de Hardy
- Espaces de Lipschitz
- MATHEMATICS -- Calculus
- MATHEMATICS -- Mathematical Analysis
- Banach spaces
- Function spaces
- Functional analysis
- Hardy spaces
- Lipschitz spaces
- Poisson integral formula
- Komplexe Funktion
- Analytische Funktion
- 515.7222
- QA320
- SK 600
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Print version record.
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.
Includes bibliographical references and index.
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.
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