논문KCI 등재
Generalized composition operators from generalized weighted Bergman spaces to Bloch type spaces
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Let H(B) denote the space of all holomorphic functions on the unit ball B of C^n. Let φ=(φ_1,…,φ_n) be a holomorphic self-map of B and g ∈ H(B) with g(0)=0. In this paper we study the boundedness and compactness of the generalized composition operator <수식> from generalized weighted Bergman spaces into Bloch type spaces.
Abstract
Let H(B) denote the space of all holomorphic functions on the unit ball B of C^n. Let φ=(φ_1,…,φ_n) be a holomorphic self-map of B and g ∈ H(B) with g(0)=0. In this paper we study the boundedness and compactness of the generalized composition operator <수식> from generalized weighted Bergman spaces into Bloch type spaces.
참고문헌 (12)
- C. C. Cowen, "Composition Operators on Spaces of Analytic Functions" (1995), CRC Press
- Z. Hu, "Extended Cesaro operators on mixed norm spaces", Proc. Amer. Math. Soc., 131(7), pp.2171~2179 (2003)
- S. Li, "Riemann-Stieltjes operators from F(p, q, s) spaces to ®-Bloch spaces on the unit ball", J. Inequal. Appl., 14~ (2006)
- Songxiao Li, "Volterra composition operators between weighted bergman spaces and Bloch type spaces", 대한수학회지, 45(1), pp.229~248 (2008), 대한수학회
- S. Li, "Weighted composition operators from Bergman-type spaces into Bloch spaces", Proc. Indian Acad. Sci. Math. Sci., 117(3), pp.371~385 (2007)
- S. Li, "Compactness of Riemann-Stieltjes operators between F(p, q, s) spaces and ®- Bloch spaces", Publ. Math. Debrecen, 72(1), pp.111~128 (2008)
- S. Li, "Generalized composition operators on Zygmund spaces and Bloch type spaces", J. Math. Anal. Appl., 338(2), pp.1282~1295 (2008)
- K. Madigan, "Compact composition operators on the Bloch space", Trans. Amer. Math. Soc., 37(7), pp.2679~2687 (1995)
- J. Shapiro, "Composition Operators and Classical Function Theory, Universitext: Tracts in Mathematics" (1993), Springer-Verlag
- R. Zhao, "Theory of Bergman spaces on the unit ball", Mem. Soc. Math. France, ~ (2008)
- K. Zhu, "Operator Theory in Function Spaces, Monographs and Textbooks in Pure and Applied Mathematics", Marcel Dekker, Inc., 139 (1990)
- K. Zhu, "Spaces of Holomorphic Functions in the Unit Ball", Graduate Texts in Mathematics, 226 (2005), Springer-Verlag
관련 논문AI추천
Norm of the composition operator from Bloch space to Bergman spaceKazuhiro Kasuga대한수학회 · 대한수학회논문집2014 · 제29권 제3호Generalized weighted composition operators from area Nevanlinna spaces to weighted-type spacesYang Weifeng, Yan Weiren대한수학회 · 대한수학회보2011 · 제48권 제6호NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES AND THE WEIGHTED BLOCH SPACESCe-Zhong Tong, Ze-Hua Zhou대한수학회 · 대한수학회지2014 · 제51권 제1호Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spacesAjay K. Sharma, Elina Subhadarsini, Mehak Sharma대한수학회 · 대한수학회논문집2018 · 제33권 제4호Volterra composition operators between weighted bergman spaces and Bloch type spacesSongxiao Li대한수학회 · 대한수학회지2008 · 제45권 제1호
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