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The purpose of this paper is to define a new class of hyperholomorphic functions spaces, which will be called F α ω,G (p, q, s) type spaces. For this class, we characterize hyperholomorphic weighted α-Bloch functions by functions belonging to F α ω,G (p, q, s) spaces under some mild conditions. Moreover, we give some essential properties for the extended weighted little α-Bloch spaces. Also, we give the characterization for the hyperholomorphic weighted Bloch space by the integral norms of F αdoi:10.1353/ks.2002.0010 fatcat:djvmu7grtfdd3mbhd76enkzcfa