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A note on Sobolev type inequalities on graphs with polynomial volume growth
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A note on Sobolev type inequalities on graphs with polynomial volume growth
classification
math.FA
math.MG
keywords
graphsinequalitiesgrowthpolynomialsobolevtypevolumegeneralized
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We prove a scale of generalized $L^p$-Poincar\'e inequalities and Sobolev type inequalities on graphs with polynomial volume growth. They are optimal on Vicsek graphs.
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