BERGMAN TYPE PROJECTIONS ON L^p SPACES 被引量：1

BERGMAN TYPE PROJECTIONS ON L^p SPACES

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摘要 The paper is a survey on the action of Bergman type projections on various Lp on three types of holomorphic function spaces： weighted Bergman spaces, the Bloch spaces. The focus is space, and diagonal Besov spaces. The paper is a survey on the action of Bergman type projections on various Lp on three types of holomorphic function spaces： weighted Bergman spaces, the Bloch spaces. The focus is space, and diagonal Besov spaces.

作者 Kehe Zhu

机构地区 State University of new York

出处《Analysis in Theory and Applications》 2005年第2期157-165,共9页 分析理论与应用（英文刊）

关键词 Bergman projection Bergman kernel integral operator Bergman projection, Bergman kernel, integral operator

分类号 O177.3 [理学—基础数学]

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参考文献7

1Forelii, F. and Rudin, W., Projections on Spaces of Holomorphic Functions in Balls, Indiana Univ.Math. J., 24(1974), 593-602.
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5Zhu, K., A Forelli-Rudin Type Theorem, Complex Variables, 16(1991), 107-113.
6Zhu, K., Spaces of Holomorphic Functions in the Unit Ball, Springer, New York, 2004.
7Zhu, K., A Sharp Norm Estimate of the Bergman Projection on L^p Spaces, Contemporary Math,to Appear.

同被引文献5

1ZHU K H. Operator Theory in Function Spaces[M]. New York:Dekker, 1990: 54-84.
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引证文献1

1崔学伟.上半平面上Bergman空间的再生核及共轭[J].山西大学学报（自然科学版）,2007,30(4):437-439.

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3李俊锋.COMPOSITION OPERATORS FROM p-BLOCH SPACES TO LITTLE q-BLOCH SPACES ON THE UNIT BALL OF C^n[J].Acta Mathematica Scientia,2010,30(3):1013-1020. 被引量：3
4XU Ning.Extended Ceshro Operators on μ-Bloch Spaces in C^n[J].Journal of Mathematical Research and Exposition,2009,29(5):913-922. 被引量：1
5Baohuai SHENG.ON APPROXIMATION BY REPRODUCING KERNEL SPACES IN WEIGHTED L^p SPACES[J].Journal of Systems Science & Complexity,2007,20(4):623-638. 被引量：2
6Yu Feng LU,Jun YANG.Commuting Dual Toeplitz Operators on Weighted Bergman Spaces of the Unit Ball[J].Acta Mathematica Sinica,English Series,2011,27(9):1725-1742. 被引量：6
7王雄亮,刘太顺.Weighted Bergman Spaces on Bounded Symmetric Domains[J].Chinese Quarterly Journal of Mathematics,2008,23(1):36-44.
8Jun YANG,Yu Feng LU.Compact Operators on Weighted Bergman Spaces of the Unit Ball[J].Journal of Mathematical Research with Applications,2012,32(1):83-94.
9Sui HUANG Guang Fu CAO.Trace Class Toeplitz Operators with Unbounded Symbols on Weighted Bergman Spaces[J].Acta Mathematica Sinica,English Series,2010,26(8):1567-1574.
10Jihuai Shi Luo Luo Department of Mathematics,University of Science and Technology of China,Heifei 230036,P.R.China Fax:(0551)3631760.Composition Operators on the Bloch Space of Several Complex Variables[J].Acta Mathematica Sinica,English Series,2000,16(1):85-98. 被引量：44

Analysis in Theory and Applications

2005年第2期

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BERGMAN TYPE PROJECTIONS ON L^p SPACES 被引量：1

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