Essential normality of quasi-homogeneous quotient modules over the polydisc

Essential normality of quasi-homogeneous quotient modules over the polydisc

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摘要 In this paper, we characterize the essential normality of quasi-homogeneous quotient Hardy modules over the polydisc by giving a complete criterion in terms of partially maximal ideals. Then we generalize this result to the weighted Bergman modules. In this paper, we characterize the essential normality of quasi-homogeneous quotient Hardy modules over the polydisc by giving a complete criterion in terms of partially maximal ideals. Then we generalize this result to the weighted Bergman modules.

作者 Penghui Wang Chong Zhao

机构地区 School of Mathematics

出处《Science China Mathematics》 SCIE CSCD 2019年第4期663-678,共16页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China (Grant Nos. 11471189 and 11501329) Shandong Province Natural Science Foundation (Grant No. ZR2014AQ009) the Fundamental Research Funds of Shandong University (Grant No. 2015GN017)

关键词 essential NORMALITY Hardy space OVER the POLYDISC quasi-homogeneous QUOTIENT module essential normality Hardy space over the polydisc quasi-homogeneous quotient module

分类号 O1 [理学—基础数学]

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1Kun-yu GUO & Peng-hui WANG School of Mathematics, Pudan University, Shanghai 200433, China.Essentially normal Hilbert modules and K-homology Ⅲ:Homogenous quotient modules of Hardy modules on the bidisk[J].Science China Mathematics,2007,50(3):387-411. 被引量：3
2GUO KunYu,WANG PengHui.Essentially normal Hilbert modules and K-homology IV:Quasi-homogenous quotient modules of Hardy module on the polydisks[J].Science China Mathematics,2012,55(8):1613-1626. 被引量：2

二级参考文献4

1Rongwei Yang.Operator theory in the Hardy space over the bidisk (II)[J].Integral Equations and Operator Theory.2002(1)
2Joseph L. Taylor.The analytic-functional calculus for several commuting operators[J].Acta Mathematica.1970(1)
3William B. Arveson.Subalgebras ofC *-algebras[J].Acta Mathematica.1969(1)
4Kun-yu GUO & Peng-hui WANG School of Mathematics, Pudan University, Shanghai 200433, China.Essentially normal Hilbert modules and K-homology Ⅲ:Homogenous quotient modules of Hardy modules on the bidisk[J].Science China Mathematics,2007,50(3):387-411. 被引量：3

共引文献3

1卢玉峰,杨义新.双圆盘上内序列基子模的一些性质[J].数学年刊（A辑）,2010,31(5):607-614.
2GUO KunYu,WANG PengHui.Essentially normal Hilbert modules and K-homology IV:Quasi-homogenous quotient modules of Hardy module on the polydisks[J].Science China Mathematics,2012,55(8):1613-1626. 被引量：2
3庄春明,戴星超.关于多圆盘Hardy空间上本性正规的Beurling型商模的一些探讨[J].赤峰学院学报（自然科学版）,2014,30(16):11-12.

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Essential normality of quasi-homogeneous quotient modules over the polydisc

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