On square functions and Fourier multipliers for nonlocal operators

Abstract

Using Itô'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 Lévy-Fourier multipliers.

Cited by in corpus (1)

• Littlewood--Paley--Stein Estimates for Non-local Dirichlet Forms