Optimal estimates for the gradient of harmonic functions in the multidimensional half-space
Analysis of PDEs
2009-09-11 v1 Complex Variables
Abstract
A representation of the sharp constant in a pointwise estimate of the gradient of a harmonic function in a multidimensional half-space is obtained under the assumption that function's boundary values belong to . This representation is concretized for the cases and .
Cite
@article{arxiv.0909.1932,
title = {Optimal estimates for the gradient of harmonic functions in the multidimensional half-space},
author = {Gershon Kresin and Vladimir Maz'ya},
journal= {arXiv preprint arXiv:0909.1932},
year = {2009}
}
Comments
16 pages