Lacunary Series in Weighted Hyperholomorphic B p,q (G) Spaces |
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| Authors: | A. El-Sayed Ahmed |
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| Affiliation: | 1. Faculty of Science, Department of Mathematics , Sohag University , Sohag, Egypt ahsayed80@hotmail.com |
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| 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 ?3. 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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| Keywords: | α-Bloch space Hyperholomorphic functions Lacunary series B p, q (G) spaces |
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