English

Weighted inequality of integral operators induced by Hardy kernels

Functional Analysis 2025-04-15 v1

Abstract

For doubling weights, we obtain a necessary and sufficient condition such that the one weighted inequality of the integral operator induced by Hardy kernels on the unit disk holds. This confirms a conjecture by Guo and Wang in such situations.

Keywords

Cite

@article{arxiv.2504.09992,
  title  = {Weighted inequality of integral operators induced by Hardy kernels},
  author = {Zipeng Wang and Kenan Zhang},
  journal= {arXiv preprint arXiv:2504.09992},
  year   = {2025}
}