Real-Part Estimates for Solutions of the Riesz System in $\mathbb{R}^3$
Complex Variables
2010-04-09 v1
Abstract
Main goal of this paper is to generalize Hadamard's real part theorem and invariant forms of Borel-Carath\'eodory's theorem from complex analysis to solutions of the Riesz system in the three-dimensional Euclidean space in the framework of quaternionic analysis.
Keywords
Cite
@article{arxiv.1004.1191,
title = {Real-Part Estimates for Solutions of the Riesz System in $\mathbb{R}^3$},
author = {J. Morais and K. Guerlebeck},
journal= {arXiv preprint arXiv:1004.1191},
year = {2010}
}