Hardy–Stein identity for pure-jump Dirichlet forms
Volume 71 / 2023
Bulletin Polish Acad. Sci. Math. 71 (2023), 65-84
MSC: Primary 31C25; Secondary 42B25, 60J35, 60G51.
DOI: 10.4064/ba230404-1-6
Published online: 26 June 2023
Abstract
We prove the $L^p$ variant of the Hardy–Stein identity for Sobolev–Bregman forms associated with pure-jump Dirichlet forms with killing, under rather mild assumptions. Along the way, we obtain a general result in terms of the $p$-form defined in a more abstract way.
