English

Hardy-Stein identity for pure-jump Dirichlet forms

Functional Analysis 2025-07-03 v2

Abstract

We prove the LpL^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 pp-form defined in a more abstract way.

Cite

@article{arxiv.2209.13568,
  title  = {Hardy-Stein identity for pure-jump Dirichlet forms},
  author = {Michał Gutowski},
  journal= {arXiv preprint arXiv:2209.13568},
  year   = {2025}
}
R2 v1 2026-06-28T02:13:16.096Z