度量度量空间上的狄利克雷形式为korevar - schoen能量的Mosco极限

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2023-10-25 DOI:10.2422/2036-2145.202302_013

Patricia Alonso Ruiz, Fabrice Baudoin

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Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies

This paper establishes sufficient general conditions for the existence of Mosco limits of Korevaar-Schoen $L^2$ energies, first in the context of Cheeger spaces and then in the context of fractal-like spaces with walk dimension greater than 2. Among the ingredients, a new Rellich-Kondrachov type theorem for Korevaar-Schoen-Sobolev spaces is of independent interest.

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来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24