Poincare type inequalities of Heisenberg group target for p < 2

Gao Jia; Fang-lan Li

doi:10.24297/jam.v5i3.3695

Poincare type inequalities of Heisenberg group target for p < 2

Authors

Gao Jia University of Shanghai for Science and Technology, Shanghai 200093, China
Fang-lan Li Shanghai Medical Instrumentation College, Shanghai 200093, China

DOI:

https://doi.org/10.24297/jam.v5i3.3695

Keywords:

Heisenberg Group, Sobolev Space, Poincare

Abstract

In this paper, we prove some Poincare type inequalities of the Heisenberg group target space in the case of 2mm+1 p < 2. In order to overcome the obstacles which are due to the nonlinear structure of the group laws, there are some techniques in the arguments for proving the results.

Downloads

Download data is not yet available.

Downloads

Published

2014-01-18

How to Cite

Jia, G., & Li, F.- lan. (2014). Poincare type inequalities of Heisenberg group target for p < 2. JOURNAL OF ADVANCES IN MATHEMATICS, 5(3), 792–802. https://doi.org/10.24297/jam.v5i3.3695