Open Access
2012 Weighted classes of quaternion-valued functions
A. El-Sayed Ahmed, Saleh Omran
Banach J. Math. Anal. 6(2): 180-191 (2012). DOI: 10.15352/bjma/1342210168

Abstract

In this paper, we define the classes $F(p,q,s)$ of quaternion-valued functions, then we characterize quaternion Bloch functions by quaternion $F(p,q,s)$ functions in the unit ball of $\mathbb{R}^3$. Further, some important basic properties of these functions are also considered.

Citation

Download Citation

A. El-Sayed Ahmed. Saleh Omran. "Weighted classes of quaternion-valued functions." Banach J. Math. Anal. 6 (2) 180 - 191, 2012. https://doi.org/10.15352/bjma/1342210168

Information

Published: 2012
First available in Project Euclid: 13 July 2012

zbMATH: 1258.46010
MathSciNet: MR2945996
Digital Object Identifier: 10.15352/bjma/1342210168

Subjects:
Primary: ‎46E15
Secondary: 30G35‎

Keywords: $F(p,q,s)$ spaces , Bloch space , quaternion analysis

Rights: Copyright © 2012 Tusi Mathematical Research Group

Vol.6 • No. 2 • 2012
Back to Top