A note on extrapolation of compactness
Analysis of PDEs
2021-06-08 v1
Abstract
This note is devoted to the study of Hyt\"{o}nen's extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of linear operators in the two-weight setting are obtained. As applications, we obtain two-weight compactness of commutators of Calder\'{o}n--Zygmund operators, fractional integrals and bilinear Calder\'{o}n--Zygmund operators.
Cite
@article{arxiv.2106.03295,
title = {A note on extrapolation of compactness},
author = {Shenyu Liu and Huoxiong Wu and Dongyong Yang},
journal= {arXiv preprint arXiv:2106.03295},
year = {2021}
}
Comments
13pages