Extrapolation on Hardy spaces and applications
Classical Analysis and ODEs
2020-01-28 v1 Complex Variables
Functional Analysis
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.
Cite
@article{arxiv.2001.09368,
title = {Extrapolation on Hardy spaces and applications},
author = {Odysseas Bakas},
journal= {arXiv preprint arXiv:2001.09368},
year = {2020}
}
Comments
19 pages. To appear in the special issue of Pure and Applied Functional Analysis on Extrapolation Theory