Tent Space Boundedness Via Extrapolation
Classical Analysis and ODEs
2016-03-04 v1 Functional Analysis
Abstract
We study the action of operators on tent spaces such as maximal operators, Calder{\'o}n-Zygmund operators, Riesz potentials. We also consider singular non-integral operators. We obtain boundedness as an application of extrapolation methods in the Banach range. In the non Banach range, boundedness results for Calder{\'o}n-Zygmund operators follows by using an appropriate atomic theory. We end with some consequences on amalgalm spaces.
Cite
@article{arxiv.1603.01230,
title = {Tent Space Boundedness Via Extrapolation},
author = {Pascal Auscher and Cruz Prisuelos-Arribas},
journal= {arXiv preprint arXiv:1603.01230},
year = {2016}
}
Comments
submitted, 25 pages