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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

A Boundary Schwarz Lemma for Holomorphic Mappings on the Polydisc被引量：1: 《Chinese Annals of Mathematics,Series B》2018年第1期9-16,共8页Yang LIU Zhihua CHEN Yifei PAN; supported by the National Science Foundation of China(Nos.11671361,11571256); The authors prove a general Schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any dimensions.For the special case of one complex variable,the obtained results give the classi...; 关键词：Boundary Schwarz lemma Holomorphic mapping POLYDISC Unit ball

Algebraic Properties of Dual Toeplitz Operators on Harmonic Hardy Space over Polydisc: 《Journal of Mathematical Research with Applications》2016年第6期703-710,共8页Yufeng LU Fatemeh AZARI KEY Hewei YANG Liu LIU; Supported by the National Natural Science Foundation of China(Grant Nos.11671065;11301047); In this paper,we introduce the harmonic Hardy space on Tn and study some algebraic properties of dual Toeplitz operator on the harmonic Hardy space on Tn.; 关键词：Toeplitz operators harmonic algebraic analytic satisfying essentially integer multiplication measurable

Composition Operator from Logarithmic Bloch-Type Space to Bergman Space on Unit Polydisc: 《Transactions of Tianjin University》2011年第6期450-453,共4页张利曾红刚; Supported by National Natural Science Foundation of China (No.10971153); In order to investigate the boundedness or compactness of composition operator from the logarithmic Bloch-type space to the Bergman space on the unit polydisc, the classic Bergman norm is firstly changed into another ...; 关键词：composition operator logarithmic Bloch-type space Bergman space COMPACTNESS BOUNDEDNESS

DISTORTION THEOREMS FOR BLOCH MAPPINGS ON THE UNIT POLYDISC D^n被引量：1: 《Acta Mathematica Scientia》2010年第5期1661-1668,共8页王建飞刘太顺唐笑敏; partly supported by the National Natural Science Foundation of China(10826083,10971063);NSF of Zhejiang Province (D7080080, Y606197,Y6090694);Scientific Research Fund of Zhejiang Provincial Education Department (Y200805520); In this article, we establish distortion theorems for some various subfamilies of Bloch mappings defined in the unit polydisc Dn with critical points, which extend the results of Liu and Minda to higher dimensions. We...; 关键词：Bloch constant Bloch mapping critical point holomorphic mapping

Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc被引量：3: 《Science China Mathematics》2010年第4期1017-1024,共8页LIU Yang 1,& CHEN ZhiHua 2 1 Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China 2 Department of Mathematics,Tongji University,Shanghai 200092,China; supported by National Natural Science Foundation of China (GrantNos.10871145,10926066);Doctoral Program Foundation of the Ministry of Education of China (Grant No.20090072110053); We give higher order derivatives Schwarz-Pick estimates for all positive real part holomorphic functions on Bn and D n,and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic fun...; 关键词：Schwarz-Pick ESTIMATE HOLOMORPHIC function TAYLOR expansion

GENERALIZED HILBERT OPERATOR AND FEJR-RIESZ TYPE INEQUALITIES ON THE POLYDISC: 《软件工程师》2009年第4期-,共10页李颂孝 Stevo Stevi; Supported by the NNSF of China(10671115);; grants from Specialized Research Fund for the doctoral program of Higher Education(20060560002);; NSF of Guangdong Province(7300614); Let f be a holomorphic function on the unit polydisc Dn,with Taylor expansion f(z) = ∞ |k|=0 akzk ≡∞ (k1+···+kn=0) (ak1,···,kn zk1 1znkn)where k = (k1, , kn) ∈ Z+n. The authors define generalized Hilbert ope...

GENERALIZED HILBERT OPERATOR AND FEJR-RIESZ TYPE INEQUALITIES ON THE POLYDISC: 《Acta Mathematica Scientia》2009年第1期191-200,共10页李颂孝 Stevo Stevi; Supported by the NNSF of China(10671115);grants from Specialized Research Fund for the doctoral program of Higher Education(20060560002);NSF of Guangdong Province(7300614); Let f be a holomorphic function on the unit polydisc Dn,with Taylor expansion f(z) = ∞ |k|=0 akzk ≡ ∞ (k1+···+kn=0) (ak1,···,kn zk1 1znkn)where k = (k1, , kn) ∈ Z+n. The authors define generalized Hilbert op...; 关键词：Generalized Hilbert operator Fejé r-Riesz inequality a-Bloch space

Composition operators between Bloch-type spaces in the polydisc被引量：24: 《Science China Mathematics》2005年第z1期268-282,共15页HU Zhangjian; supported by the National Natural Science Foundation of China(Grant No.10471039);the Natural Science Foundation of Zhejiang Ptovince(Grant No.M103104).; We characterize those holomorphic mappings (?) from the polydisc Dn in Cn to itself for which the induced composition operators C(?) are bounded (or compact) from the Bloch-type space Bω to Bμ (respectively, from th...; 关键词：Bloch-type space COMPOSITION operator boundedness compactness.

Composition operators on the Lipschitz space in polydiscs被引量：6: 《Science China Mathematics》2003年第1期33-38,共6页周泽华; This work was supported in part by the National Natural Science Foundation ofChina (Grant Nos. 19871081 & 10001030) ; LiuHui Center for Applied Mathematics, Nankai University and Tianjin University.; Let Un be the unit polydisc of Cn and φ = (φ 1,...,φ n ) a holomorphic self-map of Un. Let 0 ≤α 1. This paper shows that the composition operator C is bounded on the Lipschitz space Lip(Un) if and only if there e...; 关键词：LIPSCHITZ space polydisc COMPOSITION operator.

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