English

Weak type (1,1) estimates for inverses of discrete rough singular integral operators

Functional Analysis 2017-11-09 v2

Abstract

We obtain weak type (1,1) estimates for the inverses of truncated discrete rough Hilbert transform. We include an ex- ample showing that our result is sharp. One of the ingredients of the proof are regularity estimates for convolution of singular measure associated with the sequence [mα][m^\alpha].

Keywords

Cite

@article{arxiv.1707.03597,
  title  = {Weak type (1,1) estimates for inverses of discrete rough singular integral operators},
  author = {Maciej Paluszynski and Jacek Zienkiewicz},
  journal= {arXiv preprint arXiv:1707.03597},
  year   = {2017}
}