Hardy-Stein identity for pure-jump Dirichlet forms
- Resource Type
- Working Paper
- Authors
- Gutowski, Michał
- Source
- Subject
- Mathematics - Functional Analysis
31C25 (Primary) 42B25, 60J35, 60G51 (Secondary)
- Language
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.