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EXTRAPOLATION ON HARDY SPACES AND APPLICATIONS

Bakas, Odysseas LU (2021) In Pure and Applied Functional Analysis 6(3). p.531-550
Abstract

In this survey article some classical results concerning real interpolation between Hardy spaces are briefly presented and then it is explained how those results can be used to establish Yano-type extrapolation theorems for Hardy spaces. Some new extensions and variants of certain classical endpoint theorems in harmonic analysis are obtained as applications of the extrapolation results presented here.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Extrapolation, Hardy spaces, Lorentz-Zygmund spaces, Meyer’s inequality, Orlicz spaces, Zygmund’s inequality
in
Pure and Applied Functional Analysis
volume
6
issue
3
pages
20 pages
publisher
Yokohama Publishers
external identifiers
  • scopus:85205831747
ISSN
2189-3756
language
English
LU publication?
yes
id
d876961c-a99a-425e-a535-3ae0fb029d4c
date added to LUP
2025-02-10 16:27:25
date last changed
2025-04-04 14:27:37
@article{d876961c-a99a-425e-a535-3ae0fb029d4c,
  abstract     = {{<p>In this survey article some classical results concerning real interpolation between Hardy spaces are briefly presented and then it is explained how those results can be used to establish Yano-type extrapolation theorems for Hardy spaces. Some new extensions and variants of certain classical endpoint theorems in harmonic analysis are obtained as applications of the extrapolation results presented here.</p>}},
  author       = {{Bakas, Odysseas}},
  issn         = {{2189-3756}},
  keywords     = {{Extrapolation; Hardy spaces; Lorentz-Zygmund spaces; Meyer’s inequality; Orlicz spaces; Zygmund’s inequality}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{531--550}},
  publisher    = {{Yokohama Publishers}},
  series       = {{Pure and Applied Functional Analysis}},
  title        = {{EXTRAPOLATION ON HARDY SPACES AND APPLICATIONS}},
  volume       = {{6}},
  year         = {{2021}},
}