Boundedness of self-map composition operators for two types of weights on the upper half-plane
نویسندگان
چکیده
منابع مشابه
A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane
In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper half-plane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition.
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15 صفحه اولComposition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane
and Applied Analysis 3 In two main theorems in 20 , the authors proved the following results, which we now incorporate in the next theorem. Theorem A. Assume p ≥ 1 and φ is a holomorphic self-map of Π . Then the following statements true hold. a The operator Cφ : H Π → A∞ Π is bounded if and only if sup z∈Π Im z ( Imφ z )1/p < ∞. 1.8 b The operator Cφ : H Π → B∞ Π is bounded if and only if sup ...
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ژورنال
عنوان ژورنال: Cogent Mathematics
سال: 2016
ISSN: 2331-1835
DOI: 10.1080/23311835.2016.1210716