Characterizations of Weighted Bloch Space by Q p, ω -Type Spaces of Quaternion-Valued Functions
In this paper, we define quaternion ℬω-Bloch spaces and Q p, ω
spaces of quaternion-valued functions, then we characterize Q p, ω
spaces by ℬω-Bloch spaces. Moreover, we give the definition
of quaternion ρℬ
ω-sequences which allow one to describe non-ℬω Bloch functions in quaternionic sense.
Keywords: Q p, ω Spaces; Quaternion Bloch Functions; Quaternionic Analysis
Document Type: Research Article
Affiliations: Taif University, Faculty of Science, Mathematics Department El-Taif 5700, Saudi Arabia
Publication date: 01 November 2015
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