Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2012; 49(6): 1335-1348

Printed November 30, 2012

https://doi.org/10.4134/BKMS.2012.49.6.1335

Copyright © The Korean Mathematical Society.

A Hardy inequality on H-type groups

Yingxiong Xiao

Hubei Engineering University

Abstract

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We prove a Hardy inequality related to Carnot-Carath\'eodory distance on H-type groups based on a representation formula on such groups.

Keywords: Hardy inequality, Heisenberg type group, Carnot-Carath\'eodory distance

MSC numbers: Primary 22E25, 26D10

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