Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane
نویسندگان
چکیده
منابع مشابه
Composition 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: Abstract and Applied Analysis
سال: 2009
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2009/161528