English

A unified method for maximal truncated Calder\'on-Zygmund operators in general function spaces by sparse domination

Classical Analysis and ODEs 2019-10-29 v3

Abstract

In this note we give simple proofs of several results involving maximal truncated Calde\'on-Zygmund operators in the general setting of rearrangement invariant quasi-Banach function spaces by sparse domination. Our techniques allow us to track the dependence of the constants in weighted norm inequalities; additionally, our results hold in Rn\mathbb{R}^n as well as in many spaces of homogeneous type.

Keywords

Cite

@article{arxiv.1711.00203,
  title  = {A unified method for maximal truncated Calder\'on-Zygmund operators in general function spaces by sparse domination},
  author = {Theresa C. Anderson and Bingyang Hu},
  journal= {arXiv preprint arXiv:1711.00203},
  year   = {2019}
}

Comments

To appear in PEMS