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

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.

Cited by in corpus (2)

• Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3
• On a three dimensional analogue to the holomorphic z-powers