Improved Sobolev inequalities on groups of Iwasawa type in presence of symmetry

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:341

Article

Yang Qiaohua

关键词: simple Lie groups of real rank one;    Cayley transform;    Sobolev inequalities;    Heisenberg type groups;   

DOI  :  10.1016/j.jmaa.2007.11.009

来源: Elsevier

【 摘 要 】

Let G be a simple Lie group of real rank one and N be in the Iwasawa decomposition of G. We prove a refined version of the Sobolev inequality on N in presence of symmetry. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free