Real-Part Estimates for Solutions of the Riesz System in $\mathbb{R}^3$

J. Morais; K. Guerlebeck

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arXiv · 1004.1191

Real-Part Estimates for Solutions of the Riesz System in $\mathbb{R}^3$

J. Morais·K. Guerlebeck

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Abstract

Main goal of this paper is to generalize Hadamard's real part theorem and invariant forms of Borel-Carathéodory's theorem from complex analysis to solutions of the Riesz system in the three-dimensional Euclidean space in the framework of quaternionic analysis.

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BibTeX RIS

J. Morais, K. Guerlebeck. 2010-04-07. Real-Part Estimates for Solutions of the Riesz System in $\mathbb{R}^3$. https://arxiv.org/abs/1004.1191

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