Some Entropy Bump Conditions for Fractional Maximal and Integral Operators
Classical Analysis and ODEs
2016-09-29 v2 Functional Analysis
Abstract
We investigate weighted inequalities for fractional maximal operators and fractional integral operators. We work within the innovative framework of "entropy bounds" introduced by Treil--Volberg. Using techniques developed by Lacey and the second author, we are able to efficiently prove the weighted inequalities.
Keywords
Cite
@article{arxiv.1504.05906,
title = {Some Entropy Bump Conditions for Fractional Maximal and Integral Operators},
author = {Robert Rahm and Scott Spencer},
journal= {arXiv preprint arXiv:1504.05906},
year = {2016}
}
Comments
v2. Part of Theorem 1.1 from v1 was not true; we fixed the error. We thank Kabe Moen for pointing this out to us