Function Classes on the Unit Disc : an Introduction.

Function Classes on the Unit Disc : an Introduction.

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 (al...

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Bibliographic Details
Main Author: Pavlovic, Miroslav (Author)
Format: Electronic eBook
Language:English
Published: Berlin : De Gruyter, [2013]
Series:De Gruyter studies in mathematics.
Subjects:
Functional analysis.
Function spaces.
Banach spaces.
Poisson integral formula.
Hardy spaces.
Lipschitz spaces.
Online Access:CONNECT
Table of Contents:
  • 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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