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arxiv: 0709.1097 · v2 · submitted 2007-09-07 · 🧮 math.AP · math.FA

Characterizations of Sobolev inequalities on metric spaces

classification 🧮 math.AP math.FA
keywords characterizationsinequalitiesmetricsobolevspacesgeneralisocapacitarymeasure
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We present isocapacitary characterizations of Sobolev inequalities in very general metric measure spaces.

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