Weighted $L^p$-norm inequality of multi-parameter fractional integration
Classical Analysis and ODEs
2023-10-31 v1
Abstract
We study a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace. We prove a desired two-weight, L^p-norm inequality provided that the corresponding multi-parameter theta-bump characteristic is finite.
Keywords
Cite
@article{arxiv.2310.18649,
title = {Weighted $L^p$-norm inequality of multi-parameter fractional integration},
author = {Chuhan Sun and Zipeng Wang},
journal= {arXiv preprint arXiv:2310.18649},
year = {2023}
}
Comments
15 pages