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POLYDISK: 作品数：23被引量：73H指数：6; 导出分析报告; 相关领域：理学轻工技术与工程更多>>; 相关期刊：《Wuhan University Journal of Natural Sciences》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》更多>>; 相关基金：国家自然科学基金广东省自然科学基金国家教育部博士点基金河北省自然科学基金更多>>

Toeplitz Products on Bergman–Sobolev Spaces over the Unit Polydisk: 《Acta Mathematica Sinica,English Series》2021年第9期1349-1366,共18页Li HE; Supported by National Natural Science Foundation of China(Grant No.11871170);the open project of Key Laboratory,School of Mathematical Sciences,Chongqing Normal University(Grant No.CSSXKFKTM202002)。; In this paper,we characterize the compactness and Fredholmness of Toeplitz operators and Toeplitz products on Bergman-Sobolev spaces over the unit polydisk.We also calculate the essential norm of finite sums of finite...; 关键词：Bergman–Sobolev space Toeplitz products compactness essential norm FREDHOLMNESS

COMPLEX SYMMETRIC TOEPLITZ OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL被引量：6: 《Acta Mathematica Scientia》2020年第1期35-44,共10页Cao JIANG Xingtang DONG Zehua ZHOU; supported in part by the National Natural Science Foundation of China(11201331,11771323)。; In this article,we study complex symmetric Toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several variables.Surprisingly,the necessary and sufficient conditions for Toeplitz operators t...; 关键词：COMPLEX SYMMETRIC OPERATOR Toeplitz OPERATOR BERGMAN SPACE pluriharmonic BERGMAN SPACE

Radial Operators on the Weighted Bergman Spaces over the Polydisk: 《Acta Mathematica Sinica,English Series》2019年第2期227-238,共12页Ran LI Yu Feng LU; Supported by the National Natural Science Foundation of China(Grant No.11671065); In this paper, we study radial operators in Toeplitz algebra on the weighted Bergman spaces over the polydisk by the(m, λ)-Berezin transform and find that a radial operator can be approximated in norm by Toeplitz ope...; 关键词：RADIAL OPERATORS (m λ)-Berezin transform weighted BERGMAN SPACES TOEPLITZ OPERATORS

A BOUNDARY SCHWARZ LEMMA FOR PLURIHARMONIC MAPPINGS FROM THE UNIT POLYDISK TO THE UNIT BALL: 《Acta Mathematica Scientia》2018年第3期926-934,共9页Ling LI Hongyi LI Di ZHAO LMIB School of Mathematics and Systems Science Beihang University; Supported by the Natural and Science Foundation of China(61379001,61771001); In this article, we present a Schwarz lemma at the boundary for pluriharmonic mappings from the unit polydisk to the unit ball, which generalizes classical Schwarz lemma for bounded harmonic functions to higher dimens...; 关键词：Boundary Schwarz lemma pluriharmonic mapping unit polydisk unit ball

Schwarz lemma at the boundary of the unit polydisk in C^n被引量：6: 《Science China Mathematics》2015年第8期1639-1652,共14页TANG XiaoMin LIU TaiShun LU Jin; supported by National Natural Science Foundation of China(Grant Nos.11101139,11271124 and 11301136);Natural Science Foundation of Zhejiang Province(Grant No.LY14A010017);Natural Science Foundation of Hebei Province(Grant No.A2014205069); We establish a new type of the classical boundary Schwarz lemma for holomorphic self-mappings of the unit polydisk Dnin Cn. By using the Carath′eodory metric and Kobayashi metric of Dn, we obtain some properties of t...; 关键词：holomorphic mapping Schwarz lemma at the boundary unit polydisk

Commuting Toeplitz Operators on the Hardy Space of the Polydisk: 《Acta Mathematica Sinica,English Series》2015年第4期695-702,共8页Ling Hui KONG Yu Feng LU; Supported by NSFC(Grant No.11271059); In this paper, we show that two Toeplitz operators Tf and Tg on the Hardy space of the polydisk can commute if and only if the Berezin transform of the commutator [Tf, Tg] is n-harmonic.; 关键词：Commuting Toeplitz operators Hardy space POLYDISK Berezin transform

ON THE VALIRON'S THEOREM IN THE POLYDISK: 《Acta Mathematica Scientia》2015年第1期71-78,共8页王刚邓方文; Supported by the National Natural Science Foundation of China(11271359); In this paper, we discuss the Valiron＇s theorem in the unit polydisk D^N. We prove that for a holomorphic map φ：D^N→D^N satisfying some regular conditions, there exists a holomorphic map θ：D^N→H and a constant...; 关键词：Valiron＇s theorem Julia-Wolff-Caratheodory POLYDISK

A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL被引量：4: 《Acta Mathematica Scientia》2014年第6期1775-1780,共6页戴绍虞潘一飞; supported by the National Natural Science Foundation of China(11201199);the Scientific Research Foundation of Jinling Institute of Technology(Jit-b-201221);Qing Lan Project; In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball. This result extends some related results.; 关键词：holomorphic mappings Schwarz-Pick lemma the polydisk

<i>β</i>-Hausdorff Operator on Lipschitz Space in the Unit Polydisk: 《Advances in Pure Mathematics》2014年第5期171-175,共5页Chaofeng Zhang Rong Hu; In this paper, we define β-Hausdorff operator on the unit polydisk and study the boundedness of the operator on Lipschitz space. Firstly, we translate the problem of coefficient into integral of weighted composition ...; 关键词：UNIT POLYDISK Lipschitz Space β-Hausdorff OPERATOR Weighted Composition OPERATOR

Composition Operators on the Weighted Bergman Space in the Unit Polydisk被引量：1: 《Chinese Quarterly Journal of Mathematics》2014年第1期9-13,共5页HU Rong HU Peng-yan; Supported by the Scientific Research Fund of Sichuan Provincial Education Department(13ZB0101); We consider the boundedness of composition operators on the Bergman space,and shows that when it is induced by automorphism is always bounded.At first we got a change of variables formula,which is very important for t...; 关键词：bergman space POLYDISK composition operators AUTOMORPHISM

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