Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces
type: Item
instance of: scholarly article
title: Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces
zbMATH Open document ID: 0837.31006
author: Umberto Mosco
author: Marco Biroli
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1996-05-21T00:00:00Z
full work available at URL: https://eudml.org/doc/244300
review text: The authors announce local embedding theorems of Sobolev, John-Nirenberg, and Campanato-Morrey type for Dirichlet forms on homogeneous spaces. The importance of these results is determined by their successful applications to selfadjoint subelliptic operators, to weighted uniformly elliptic operators, as well as to Dirichlet operators on certain self- similar fractals, like the ``Sierpinski gasket''.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46N20
zbMATH DE Number: 817261
zbMATH Keywords: homogeneous space
zbMATH Keywords: degenerate elliptic operators
zbMATH Keywords: BV spaces
zbMATH Keywords: Sierpinski gasket
zbMATH Keywords: Dirichlet operators
zbMATH Keywords: local embedding theorems
zbMATH Keywords: Dirichlet forms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 817261