Weighted composition followed and proceeded by differentiation operators from Q k ( p , q ) spaces to Bloch-type spaces
نویسندگان
چکیده
منابع مشابه
Products of Composition and Differentiation Operators from QK(p,q) Spaces to Bloch-Type Spaces
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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Let φ(z) = (φ1(z), · · · , φn(z)) be a holomorphic self-map of B and ψ(z) a holomorphic function on B, where B is the unit ball of C n . Let 0 < p, s < +∞,−n−1 < q < +∞, q + s > −1 and α ≥ 0, this paper gives some necessary and sufficient conditions for the weighted composition operator Wψ,φ induced by φ and ψ to be bounded and compact between the space F (p, q, s) and α-Bloch space β.
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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: Journal of Inequalities and Applications
سال: 2012
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2012-160