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Essential normality of quasi-homogeneous quotient modules over the polydisc
《Science China Mathematics》2019年第4期663-678,共16页Penghui Wang Chong Zhao 
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)
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 ...
关键词:essential NORMALITY Hardy space OVER the POLYDISC quasi-homogeneous QUOTIENT module 
Essentially normal Hilbert modules and K-homology IV:Quasi-homogenous quotient modules of Hardy module on the polydisks被引量:2
《Science China Mathematics》2012年第8期1613-1626,共14页GUO KunYu WANG PengHui 
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
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 modul...
关键词:essential normality Hilbert modules POLYDISK quotient modules quasi-homogenous polynomial 
Polynomial solutions of quasi-homogeneous partial differential equations
《Science China Mathematics》2001年第9期1148-1155,共8页LUO Xuebo ZHENG Zhujun Institute of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China Institute of Mathematics, Henan University, Kaifeng 475001, China 
the National Natural Science Foundation of China (Grnat No. 19971068) .
By means of a method of analytic number theory the following theorem is proved. Letp be a quasi-homogeneous linear partial differential operator with degreem,m > 0, w.r.t a dilation $\left\{ {\delta _\tau } \right\}{\...
关键词:quasi-homogeneous partial differential operator polynomial solution  dimension of the space of solution method of analytic number theory 
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