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http://dx.doi.org/10.5831/HMJ.2015.37.4.387

BLOCH-TYPE SPACES AND THEIR COMPOSITION OPERATORS  

KANG, SI HO (Department of Mathematics, Sookmyung Women's University)
Publication Information
Honam Mathematical Journal / v.37, no.4, 2015 , pp. 387-395 More about this Journal
Abstract
We investigate conditions under which a holomorphic self-map of the unit disk induces a bounded composition operator and study some properties of the composition operator from the Bloch-type spaces into a generalization of the Bloch-type spaces.
Keywords
weighted Bergman spaces; composition operators; Berezin transforms; integral operators;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Ghatage, J. Yan and D. Zheng, Composition Operators with closed range on the Bloch space, Proc. Amer. Math. Soc., 129 (2000), 2039-2044.
2 K. Madigan and A. Matheson, Compact composition operators on the Bloch space, Trans. Amet. Math. Soc. 347 (1995), 2679-2687.   DOI
3 S. H. Kang, Toeplitz Operators on Bloch-type spaces and A Generalization of Bloch-Type Spaces, J. of the CHUNGCHEONG Math. Soc., 27(3) (2014), 439-454.   DOI
4 K. Zhu, Bloch Type Spaces of Analytic Functions, Rocky Mountain Journal of Math. 23(3) (1993), 1143-1177.   DOI