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

preprint2010arXivOpen access

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

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Real-Part Estimates for Solutions of the Riesz System in R3\mathbb{R}^3R3

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