A Hardy inequality on H-type groups
Bull. Korean Math. Soc. 2012 Vol. 49, No. 6, 1335-1348
https://doi.org/10.4134/BKMS.2012.49.6.1335
Published online November 30, 2012
Yingxiong Xiao
Hubei Engineering University
Abstract : 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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