Function Classes on the Unit Disc : : An Introduction /

Function Classes on the Unit Disc : : An Introduction / / Miroslav Pavlović.

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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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
VerfasserIn:
Pavlović, Miroslav,
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

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