IMPROVED GAGLIARDO-NIRENBERG INEQUALITIES ON HEISENBERG TYPE GROUPS

作     者：罗光洲 Luo Guangzhou School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China

作者机构：School of Mathematics and Statistics Hubei Normal University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2011年第31卷第4期

页      面：1583-1590页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：supported by National Science Foundation of China (10771175) 

主　　题：Heisenberg type group heat kernel Sobolev inequality Galiardo-Nirenberg inequality 

摘      要：Motivated by the idea of M. Ledoux who brings out the connection between Sobolev embeddings and heat kernel bounds, we prove an analogous result for Kohn’s sub-Laplacian on the Heisenberg type groups. The main result includes features of an inequality of either Sobolev or Galiardo-Nirenberg type.