On square functions and Fourier multipliers for nonlocal operators
Probability
2017-11-23 v2 Functional Analysis
Abstract
Using It\^o's formula for processes with jumps, we give a simple direct proof of the Hardy-Stein identity proved in \cite{BBL}. We extend the proof given in that paper to non-symmetric L\'evy-Fourier multipliers.
Keywords
Cite
@article{arxiv.1702.06573,
title = {On square functions and Fourier multipliers for nonlocal operators},
author = {Rodrigo Banuelos and Daesung Kim},
journal= {arXiv preprint arXiv:1702.06573},
year = {2017}
}