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On Weighted Bloch Spaces of Quaternion-Valued Functions
Conference proceeding   Peer reviewed

On Weighted Bloch Spaces of Quaternion-Valued Functions

A. El-Sayed Ahmed and Aydah Ahmadi
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, Vol.1389, pp.272-275
AIP Conference Proceedings
01/01/2011
DOI: https://doi.org/10.1063/1.3636720

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we give the definition of (alpha, beta)-Bloch spaces of quaternion-valued functions, then we investigate the relation between (alpha, beta)-Bloch spaces and the Dirichlet space in the unit ball of R-3. Besides, we obtain characterizations for (alpha, beta)-Bloch spaces by Q(p) spaces of quaternion-valued functions.

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