The sharp Sobolev inequality on metric measure spaces with lower Ricci curvature bounds
type: Item
instance of: scholarly article
title: The sharp Sobolev inequality on metric measure spaces with lower Ricci curvature bounds
zbMATH Open document ID: 1333.53050
author: Angelo Profeta
published in: Potential Analysis
publication date: 2016-01-27T00:00:00Z
review text: The author shows that the sharp Sobolev inequality holds for certain metric measure spaces in the form known for some Riemannian manifolds. The proof follows the pattern of the known result.
Mathematics Subject Classification ID: 53C23
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 6536142
zbMATH Keywords: sharp Sobolev inequality
zbMATH Keywords: Nash inequality
zbMATH Keywords: metric measure spaces
zbMATH Keywords: curvature-dimension condition
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s11118-015-9485-2
OpenAlex ID: W849247667
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DOI: 10.1007/S11118-015-9485-2
description: scientific article; zbMATH DE number 6536142