- 574 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
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 theorem on conjugate functions in Bergman spaces) and a full discussion on g -functions.
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Table of contents
- 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 H<sup>1</sup>, 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 H<sup>p</sup>, 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
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Yes, you can access Function Classes on the Unit Disc by Miroslav Pavlović in PDF and/or ePUB format, as well as other popular books in Mathematics & Complex Analysis. We have over one million books available in our catalogue for you to explore.