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General Sobolev type inequalities for symmetric forms
Authors:Yong-Hua Mao
Affiliation:School of Mathematical Science, Beijing Normal University, Beijing 100875, People's Republic of China
Abstract:A general Sobolev type inequality is introduced and studied for general symmetric forms by defining a new type of Cheeger's isoperimetric constant. Finally, concentration of measure for the Lp type logarithmic Sobolev inequality is presented.
Keywords:Symmetric form   Sobolev inequality   Isoperimetric inequality
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