On square functions and Fourier multipliers for nonlocal operators

2017/02/21 by Rodrigo Bañuelos, Banuelos, Rodrigo, Dae Sung Kim +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Probability (math.PR) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1702.06573

openalex publication_date 2017/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Itô's formula for processes with jumps, we give a simple direct proof of the Hardy-Stein identity proved in \citeBBL. We extend the proof given in that paper to non-symmetric Lévy-Fourier multipliers.

Cited by

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

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