Functional and isoperimetric inequalities for probability measures on H-type groups

We investigate isoperimetric and functional inequalities for probability measures in the sub-elliptic setting and more specifically, on groups of Heisenberg type. The approach we take is based on U-bounds as well as a Laplacian comparison theorem for H-type groups. We derive different forms of funct...

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Bibliographic Details
Main Author: Kontis, Vasilis
Other Authors: Zegarlinski, Boguslaw
Published: Imperial College London 2011
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.540650