BLOCH-TYPE SPACES AND THEIR COMPOSITION OPERATORS
نویسندگان
چکیده
منابع مشابه
Compact Composition Operators on Bloch Type Spaces
In this paper we characterize continuity and compactness of composition operators Cφ mapping the α-Bloch space into the μ-Bloch space, where μ is a weight defined on the unit disk D, in term of certain expression that involve the n-power of the symbol φ.
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Let D be the open unit disk in the complex plane C. Denote by H(D) the class of all functions analytic on D. An analytic self-map φ : D → D induces the composition operator Cφ on H(D), defined by Cφ ( f ) = f (φ(z)) for f analytic on D. It is a well-known consequence of Littlewood’s subordination principle that the composition operator Cφ is bounded on the classical Hardy and Bergman spaces (se...
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ژورنال
عنوان ژورنال: Honam Mathematical Journal
سال: 2015
ISSN: 1225-293X
DOI: 10.5831/hmj.2015.37.4.387