English

Weighted variation inequalities for differential operators and singular integrals in higher dimensions

Classical Analysis and ODEs 2017-04-21 v1 Functional Analysis

Abstract

We prove weighted qq-variation inequalities with 2<q<2<q<\infty for differential and singular integral operators in higher dimensions. The vector-valued extensions of these inequalities are also given.

Keywords

Cite

@article{arxiv.1511.05129,
  title  = {Weighted variation inequalities for differential operators and singular integrals in higher dimensions},
  author = {Tao Ma and José Luis Torrea and Quanhua Xu},
  journal= {arXiv preprint arXiv:1511.05129},
  year   = {2017}
}
R2 v1 2026-06-22T11:46:40.845Z