Limiting weak-type behaviors for factional maximal operators and fractional integrals with rough kernel
Classical Analysis and ODEs
2020-09-15 v2
Abstract
By a reduction method, the limiting weak-type behaviors of factional maximal operators and fractional integrals are established without any smoothness assumption on the kernel, which essentially improve and extend previous results. As a byproduct, we characterize the boundedness of several operators by the membership of their kernel in Lebesgue space on sphere.
Cite
@article{arxiv.2008.12660,
title = {Limiting weak-type behaviors for factional maximal operators and fractional integrals with rough kernel},
author = {Guoping Zhao and Weichao Guo},
journal= {arXiv preprint arXiv:2008.12660},
year = {2020}
}
Comments
Some typos are corrected