논문KCI 등재
COMPACT COMPOSITION OPERATORS ON BESOV SPACES ON THE UNIT BALL
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In this paper, we give new necessary and sufficient conditions for the compactness of composition operator on the Besov space and the Bloch space of the unit ball, which, to a certain extent, generalizes the results given by M. Tjani in \cite{1}.
Abstract
In this paper, we give new necessary and sufficient conditions for the compactness of composition operator on the Besov space and the Bloch space of the unit ball, which, to a certain extent, generalizes the results given by M. Tjani in \cite{1}.
참고문헌 (12)
- Huaihui Chen, "Composition operators on μ-Bloch spaces", Canadian Journal of Mathematics, 61(1), pp.50~75 (2009), Canadian Mathematical Society[DOI]
- Jineng Dai, "Compact composition operators on the Bloch space of the unit ball", Journal of Mathematical Analysis and Applications, 386(1), pp.294~299 (2012), Elsevier BV[DOI]
- P. R. Halmos, "Measure Theory" (1974), Springer-Verlag
- H. Turgay Kaptanoğlu, "Bergman projections on Besov spaces on balls", Illinois Journal of Mathematics, 49(2) (2005), Duke University Press[DOI]
- H. Turgay Kaptanoğlu, "Besov spaces and Carleson measures on the ball", Comptes Rendus. Mathématique, 343(7), pp.453~456 (2006), Cellule MathDoc[DOI]
- Kevin Madigan, "Compact Composition Operators on the Bloch Space", Transactions of the American Mathematical Society, 347(7), pp.2679~ (1995), JSTOR[DOI]
- M. T. Nowak, "Bloch space on the unit ball of Cn", Ann. Acad. Sci. Fenn. Math, 23(2), pp.461~473 (1998)
- W. Rudin, "Grundlehren der Mathematischen Wissenschaften", pp.241~ (1980), Springer
- Jihuai Shi, "Composition Operators on the Bloch Space of Several Complex Variables", Acta Mathematica Sinica, English Series, 16(1), pp.85~98 (2000), Springer Science and Business Media LLC[DOI]
- Maria Tjani, "Compact composition operators on Besov spaces", Transactions of the American Mathematical Society, 355(11), pp.4683~4698 (2003), American Mathematical Society (AMS)[DOI]
- Hasi Wulan, "Compact composition operators on BMOA and the Bloch space", Proceedings of the American Mathematical Society, 137(11), pp.3861~3861 (2009), American Mathematical Society (AMS)[DOI]
- K. Zhu, "Spaces of Holomorphic Functions in the Unit Ball" (2004), Springer-Verlag
관련 논문AI추천
NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACESJizhen Zhou, Songxiao Li대한수학회 · 대한수학회보2015 · 제52권 제5호Extended Cesaro operators from F(p,q,s) spaces to Bloch-type spaces in the unit ballXiaofen Lv, Xiaomin Tang대한수학회 · 대한수학회논문집2009 · 제24권 제1호Norm of the composition operator from Bloch space to Bergman spaceKazuhiro Kasuga대한수학회 · 대한수학회논문집2014 · 제29권 제3호Lipschitz continuous and compact composition operator acting between some weighted general hyperbolic-type classesA. El-Sayed Ahmed, A. Kamal, T. I. Yassen강원경기수학회 · 한국수학논문집2016 · 제24권 제4호COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES AND THE WEIGHTED BLOCH SPACESCe-Zhong Tong, Ze-Hua Zhou대한수학회 · 대한수학회지2014 · 제51권 제1호
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