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单位球上的加权Bergman空间到加权Bloch空间的积分型算子 被引量:2

INTEGRAL-TYPE OPERATORS FROM WEIGHTED BERGMAN SPACES TO WEIGHTED BLOCH SPACES ON THE UNIT BALL
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摘要 本文主要研究单位球上加权Bergman空间到加权Bloch空间的积分型算子的性质.利用符号函数和权函数,给出了积分型算子Pgφ的有界性和紧性的特征,推广了相关结果. In this paper,we study the properties of the integral-type operator from weighted Bergman spaces to weighted Bloch spaces.By using the symbol functions and weighted functions,the characterizations of boundedness and compactness of Pgφ are given,which generalize the related results.
出处 《数学杂志》 CSCD 北大核心 2012年第6期1100-1104,共5页 Journal of Mathematics
基金 河南省自然科学基金项目(122300410110 2010A110009 12A110013 102300410012) 国家自然科学基金(11201127 11271112)
关键词 加权BERGMAN空间 加权BLOCH空间 积分型算子 有界性 紧性 weighted Bergman space weighted Bloch space integral-type operator boundedness compactness
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  • 1Cowen Carl C, MacCluer Barbara D. Composition operators on spaces of analytic functions[M]. Studies in Advanced Mathematics. Boca Raton, FL: CRC Press, 1995.
  • 2Zhu Kehe. Operator theory in function spaces[M]. Pure and Applied Mathematics, Vol. 139. New York, Basel: Marcel Dekker Inc., 1990.
  • 3Hibschweiler R A, Portnoy N. Composition followed by differentiation between Bergman and Hardy spaces[J]. Rocky Mountain J. Math., 2005, 35(3): 843-855.
  • 4Ohno S . Products of composition and differentiation between Hardy spaces[J]. Bull. Austral. Math. Soc., 2006, 73(2): 235-243.
  • 5Jihuai 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

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