Extrapolation of compactness on weighted Morrey spaces
Functional Analysis
2022-06-24 v3 Classical Analysis and ODEs
Abstract
In a previous work, "compact versions" of Rubio de Francia's weighted extrapolation theorem were proved, which allow one to extrapolate the compactness of an linear operator from just one space to the full range of weighted Lebesgue spaces, where this operator is bounded. In this paper, we extend these results to the setting of weighted Morrey spaces. As applications, we easily obtain new results on the weighted compactness of commutators of Calder\'on--Zygmund singular integrals, rough singular integrals and Bochner--Riesz multipliers.
Cite
@article{arxiv.2103.10304,
title = {Extrapolation of compactness on weighted Morrey spaces},
author = {Stefanos Lappas},
journal= {arXiv preprint arXiv:2103.10304},
year = {2022}
}
Comments
v3: final version, minor revisions, to appear in Studia Mathematica, 21 pages. arXiv admin note: substantial text overlap with arXiv:2006.15858, arXiv:2003.01606