Essentially normal Hilbert modules and K-homology IV:Quasi-homogenous quotient modules of Hardy module on the polydisks  

作　　者：GUO KunYu WANG PengHui 

机构地区：[1]School of Mathematical Sciences, Fudan University, Shanghai 200433, China [2]School of Mathematics, Shandong University, Jinan 250100, China

出　　处：《Science China Mathematics》2012年第8期1613-1626,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11101240and10831007);Laboratory of Mathematics for Nonlinear Science of Fudan University;Independent Innovation Foundation of Shandong University

摘　　要：In this paper,we give a complete characterization for the essential normality of quasi-homogenous quotient modules of the Hardy modules H2 (D2).Also,we show that if d 3,then all the principle homogenous quotient modules of H 2 (Dd) are not essentially normal.In this paper, we give a complete characterization for the essential normality of quasi-homogenous quotient modules of the Hardy modules H2 （D2）. Also, we show that if d ≥ 3, then all the principle homogenous quotient modules of H2（Dd） are not essentially normal.

关 键 词：essential normality Hilbert modules POLYDISK quotient modules quasi-homogenous polynomial 

分 类 号：O11[理学—数学] TP311.13[理学—基础数学]