%0 Journal Article %1 banuelos2017square %A Banuelos, Rodrigo %A Kim, Daesung %D 2017 %K stochastic-calculus %T On square functions and Fourier multipliers for nonlocal operators %U http://arxiv.org/abs/1702.06573 %X Using Itô's formula for processes with jumps, we give a simple direct proof of the Hardy-Stein identity proved in BBL. We extend the proof given in that paper to non-symmetric Lévy-Fourier multipliers.

@article{banuelos2017square, 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.}, added-at = {2017-11-23T15:27:12.000+0100}, author = {Banuelos, Rodrigo and Kim, Daesung}, biburl = {https://www.bibsonomy.org/bibtex/2982a556c9a3bd743267ac15d228a924a/claired}, description = {On square functions and Fourier multipliers for nonlocal operators}, interhash = {cddc8d31b3d962af9d4dff21dccf9b02}, intrahash = {982a556c9a3bd743267ac15d228a924a}, keywords = {stochastic-calculus}, note = {cite arxiv:1702.06573}, timestamp = {2017-11-23T15:27:12.000+0100}, title = {On square functions and Fourier multipliers for nonlocal operators}, url = {http://arxiv.org/abs/1702.06573}, year = 2017 }