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Generalized weighted composition operators from area Nevanlinna spaces to weighted-type spaces

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초록

Let H(D) denote the class of all analytic functions on the open unit disk D of the complex plane C. Let n be a nonnegative integer, φ be an analytic self-map of D and u∈ H(D). The generalized weighted composition operator is defined by [수식]=uf^(n)Οφ, f∈H(D). The boundedness and compactness of the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in this paper.

Abstract

Let H(D) denote the class of all analytic functions on the open unit disk D of the complex plane C. Let n be a nonnegative integer, φ be an analytic self-map of D and u∈ H(D). The generalized weighted composition operator is defined by [수식]=uf^(n)Οφ, f∈H(D). The boundedness and compactness of the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in this paper.

참고문헌 (43)

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