Function Classes on the Unit Disc : : An Introduction /

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

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This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are inte...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Pavlović, Miroslav,
MitwirkendeR:
Pavlović, Miroslav,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2014
Year of Publication:2013
Language:English
Series:De Gruyter Studies in Mathematics , 52
Online Access:
Physical Description:1 online resource (449 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • 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 H1 and some related spaces
  • 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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