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PRODUCT-TYPE OPERATORS FROM WEIGHTED BERGMAN-ORLICZ SPACES TO WEIGHTED ZYGMUND SPACES

Zhi-Jie Jiang
대한수학회 (The Korean Mathematical Society)|2015.07|대한수학회보 (Bulletin of the KMS)|제52권 제4호|pp. 1383-1399

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참고문헌

키워드

compactnessboundednessweighted Bergman-Orlicz spacesproduct-type operatorsweighted Zygmund spaces
주제분류수학

초록

Let D = {z ∈ C : |z| < 1} be the open unit disk in the complex plane C, an analytic self-map of D and ψ an analytic function in D. Let D be the differentiation operator and W ,ψ the weighted composition operator. The boundedness and compactness of the product-type operator W ,ψ D from the weighted Bergman-Orlicz space to the weighted Zygmund space on D are characterized.

Abstract

Let D = {z ∈ C : |z| < 1} be the open unit disk in the complex plane C, an analytic self-map of D and ψ an analytic function in D. Let D be the differentiation operator and W ,ψ the weighted composition operator. The boundedness and compactness of the product-type operator W ,ψ D from the weighted Bergman-Orlicz space to the weighted Zygmund space on D are characterized.

참고문헌 (42)

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