Function Classes on the Unit Disc : : An Introduction / / Miroslav Pavlović.
This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman–Stein theorem on subharmonic behavior or the theor...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
Year of Publication: | 2019 |
Edition: | 2nd rev. and ext. ed. |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
52 |
Online Access: | |
Physical Description: | 1 online resource (XVI, 558 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Preface to the first edition
- Contents
- 1. The Poisson integral and Hardy spaces
- 2. Subharmonic functions and Hardy spaces
- 3. Subharmonic behavior and Bergman-type spaces
- 4. Mixed-norm spaces with nonstandard weights
- 5. Taylor coefficients and maximal functions
- 6. Besov spaces
- 7. The dual of H1, and some related spaces
- 8. Lipschitz spaces of first order
- 9. Lipschitz spaces of higher order
- 10. Littlewood–Paley theory
- 11. One-to-one mappings
- 12. Multipliers on Hp, BMOA, and Besov spaces
- 13. Decompositions of spaces with subnormal weights and applications
- A. Quasi-Banach spaces
- B. Bounded vector-valued analytic functions
- C. Lebesgue spaces: Interpolation and maximal functions
- Bibliography
- Index