Hardy–Stein identity for pure-jump Dirichlet forms

• Autorzy: Gutowski Michał

Identyfikatory

DOI

10.4064/ba230404-1-6

• Języki publikacji: EN

Abstrakty

EN

We prove the Lp 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.

Słowa kluczowe

EN

Hardy–Stein identity; nonlocal operator; Littlewood–Paley theory

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2023
• Tom: Vol. 71, no 1
• Strony: 65--84
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Gutowski Michał

• Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

• https://orcid.org/0000-0002-7294-4778

Bibliografia

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• [14] [KL21] M. Kijaczko and J. Lenczewska, Sharp Hardy inequalities for Sobolev-Bregman forms, arXiv:2109.01704 (2021).
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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).