Abstract
The goal of this article is two-fold. First, we consider a class of hyperholomorphic functions, the so called B p, q (G) space in ℝ3. Then, we use the B p, q (G) space to characterize the hyperholomorphic α-Bloch space. Second, we obtain characterizations of the weighted hyperholomorphic B p, q (G)-functions by the coefficients of certain lacunary series expansions in Clifford Analysis.
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