A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Hardy–Stein identity for pure-jump Dirichlet forms

Volume 71 / 2023

Michał Gutowski 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.

Authors

  • Michał GutowskiFaculty of Pure and Applied Mathematics
    Wrocław University of Science and Technology
    Wybrzeże Wyspiańskiego 27
    50-370 Wrocław, Poland
    ORCID: 0000-0002-7294-4778
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image