Hardy-Stein identity for pure-jump Dirichlet forms

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1. Verfasser: Gutowski, Michał
Format: Preprint
Veröffentlicht: 2022
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author Gutowski, Michał
author_facet Gutowski, Michał
contents We prove the $L^p$ variant of the Hardy-Stein identity for Sobolev-Bregman forms associated with pure-jump Dirichlet forms, under a rather mild assumptions. Along the way, we obtain a general result in terms of the $p$-form defined in a more abstract way.
format Preprint
id arxiv_https___arxiv_org_abs_2209_13568
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Hardy-Stein identity for pure-jump Dirichlet forms
Gutowski, Michał
Functional Analysis
31C25 (Primary) 42B25, 60J35, 60G51 (Secondary)
We prove the $L^p$ variant of the Hardy-Stein identity for Sobolev-Bregman forms associated with pure-jump Dirichlet forms, under a rather mild assumptions. Along the way, we obtain a general result in terms of the $p$-form defined in a more abstract way.
title Hardy-Stein identity for pure-jump Dirichlet forms
topic Functional Analysis
31C25 (Primary) 42B25, 60J35, 60G51 (Secondary)
url https://arxiv.org/abs/2209.13568