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Function Classes on the Unit Disc
An Introduction
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Miroslav Pavlović
Language:
English
Published/Copyright:
2019
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.
- Second revised and extended edition of a standard book in function theory
- Presents new, shorter proofs of classical results along with new developments
- Of interest to graduate students and reseachers working in complex analysis
Author / Editor information
Miroslav Pavlović, University of Belgrade, Serbia.
Topics
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Frontmatter
I -
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Preface
VII -
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Preface to the first edition
IX -
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Contents
XI -
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1. The Poisson integral and Hardy spaces
1 -
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2. Subharmonic functions and Hardy spaces
45 -
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3. Subharmonic behavior and Bergman-type spaces
93 -
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4. Mixed-norm spaces with nonstandard weights
133 -
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5. Taylor coefficients and maximal functions
157 -
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6. Besov spaces
181 -
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7. The dual of H1, and some related spaces
221 -
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8. Lipschitz spaces of first order
265 -
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9. Lipschitz spaces of higher order
287 -
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10. Littlewood–Paley theory
329 -
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11. One-to-one mappings
385 -
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12. Multipliers on Hp, BMOA, and Besov spaces
417 -
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13. Decompositions of spaces with subnormal weights and applications
443 -
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A. Quasi-Banach spaces
461 -
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B. Bounded vector-valued analytic functions
475 -
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C. Lebesgue spaces: Interpolation and maximal functions
495 -
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Bibliography
519 -
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Index
545
Publishing information
Pages and Images/Illustrations in book
eBook published on:
August 19, 2019
eBook ISBN:
9783110630855
Hardcover published on:
August 19, 2019
Hardcover ISBN:
9783110628449
Edition:
2nd rev. and ext. ed.
Pages and Images/Illustrations in book
Front matter:
16
Main content:
558
Tables:
1
Audience(s) for this book
Graduate students and researchers in mathematics.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com