English

Two-weight, two-parameter fractional integration with one side condition

Classical Analysis and ODEs 2023-12-11 v1

Abstract

We study a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace. We prove a two-weight LpL^p-LqL^q-norm inequality by allowing only one of the weights to satisfy Ap×ApA_p\times A_p-condition.

Keywords

Cite

@article{arxiv.2312.04851,
  title  = {Two-weight, two-parameter fractional integration with one side condition},
  author = {Lijuan Wang and Zhiming Wang and Zipeng Wang},
  journal= {arXiv preprint arXiv:2312.04851},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-28T13:44:45.852Z