PRODUCTS OF DIFFERENTIATION AND COMPOSITION ON BLOCH SPACES
نویسندگان
چکیده
منابع مشابه
Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces
Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.
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and Applied Analysis 3 Let D be the differentiation operator on H D , that is, Df z f ′ z . For f ∈ H D , the products of composition and differentiation operators DCφ and CφD are defined, respectively, by DCφ ( f ) ( f ◦ φ)′ f ′(φ) φ′, CφD ( f ) f ′ ( φ ) , f ∈ H D . 1.8 The boundedness and compactness of DCφ on the Hardy space were investigated by Hibschweiler and Portnoy in 11 and by Ohno in...
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We obtain some simple criteria for the boundedness and compactness of the product of differentiation and composition operator CφD on Bloch type spaces.
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Let φ and ψ be holomorphic maps on such that φ( ) ⊂ . Let Cφ,Mψ and D be the composition, multiplication and differentiation operators, respectively. In this paper, we consider linear operators induced by products of these operators from Bergman-Nevanlinna spaces AβN to Bloch-type spaces. In fact, we prove that these operators map AβN compactly into Bloch-type spaces if and only if they map A β...
متن کاملCompact 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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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2009
ISSN: 1015-8634
DOI: 10.4134/bkms.2009.46.6.1135