Beurling-Deny formula for Sobolev-Bregman forms

Autor:	Gutowski, Michał, Kwaśnicki, Mateusz
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	Sobolev-Bregman forms, or $p$-forms, describe Markovian semigroups on $L^p$, and they reduce to Dirichlet forms when $p = 2$. We prove a variant of the Beurling-Deny formula for Sobolev-Bregman forms which correspond to an arbitrary regular Dirichlet form. As a sample application, we prove the corresponding Hardy-Stein identity. Our results require no further conditions on the Dirichlet form or the associated Markovian semigroup. Comment: 22 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.10824 Zobrazit plný text záznamu View this record from Arxiv