Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2008; 45(3): 405-417

Printed September 1, 2008

Copyright © The Korean Mathematical Society.

Hardy inequalities in half spaces of the Heisenberg group

Junqiang Han, Pengcheng Niu, and Wenji Qin

Northwestern Polytechnical University, Northwestern Polytechnical University, and Xi'an Polytechnic University

Abstract

In this paper we prove some Hardy inequalities in the half space of the Heisenberg group and indicate the sharp constant.

Keywords: Hardy inequality, half space, Heisenberg group

MSC numbers: 35H10, 26D10, 22E25