English

Weighted norm inequalities for convolution and Riesz potential

Classical Analysis and ODEs 2013-07-02 v1

Abstract

In this paper, we prove analogues of O'Neil's inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the potential operator.

Keywords

Cite

@article{arxiv.1307.0206,
  title  = {Weighted norm inequalities for convolution and Riesz potential},
  author = {Erlan Nursultanov and Sergey Tikhonov},
  journal= {arXiv preprint arXiv:1307.0206},
  year   = {2013}
}
R2 v1 2026-06-22T00:43:09.968Z