논문KCI 등재
COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES AND THE WEIGHTED BLOCH SPACES
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초록
We study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators from the weighted Bergman spaces to the weighted Bloch spaces in the unit disk. As consequences, we find a new connection between the weighted Bergman spaces and little weighted Bloch spaces through this relations.
Abstract
We study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators from the weighted Bergman spaces to the weighted Bloch spaces in the unit disk. As consequences, we find a new connection between the weighted Bergman spaces and little weighted Bloch spaces through this relations.
참고문헌 (12)
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- V. Lomonosov, "Invariant subspaces of the family of operators that commute with a completely continuous operator", Funkcional. Anal. i Prilozen, 7(3), pp.55~56 (1973)
- Songxiao Li, "Volterra composition operators between weighted bergman spaces and Bloch type spaces", 대한수학회지, 45(1), pp.229~248 (2008), 대한수학회
- J. H. Shapiro, "Composition Operators and Classical Function Theory" (1993), Springer Verlag
- A. G. Siskakis, "A Volterra type operator on spaces of analytic functions, Function spaces", Contemp. Math., 232, pp.299~311 (1999)
- C. Tong, "Intertwining relations for Volterra operators on the Bergman space", Illinois J. Math., to appear, ~
- J. Xiao, "The Q p Qp carelson measure problem", Adv. Math, 217(5), pp.2075~2088 (2008)
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- K. H. Zhu, "Spaces of Holomorphic Functions in the Unit Ball" (2005), Springer
관련 논문AI추천
Volterra composition operators between weighted bergman spaces and Bloch type spacesSongxiao Li대한수학회 · 대한수학회지2008 · 제45권 제1호NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호Generalized composition operators from generalized weighted Bergman spaces to Bloch type spacesXiangling Zhu대한수학회 · 대한수학회지2009 · 제46권 제6호Norm of the composition operator from Bloch space to Bergman spaceKazuhiro Kasuga대한수학회 · 대한수학회논문집2014 · 제29권 제3호A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACEShanli Ye대한수학회 · 대한수학회보2010 · 제47권 제3호Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spacesAjay K. Sharma, Elina Subhadarsini, Mehak Sharma대한수학회 · 대한수학회논문집2018 · 제33권 제4호
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