Trace theorems in harmonic function spaces on (R^n+1)^m,multiplier theorems and related problems
Functional Analysis
2012-01-18 v1
Abstract
We introduce and study properties of certain new harmonic function spaces on products of upper half-spaces.Norm estimates for the so-called expanded Bergman projections are obtained.Sharp theorems on multipliers acting on certain Sobolev type spaces of harmonic functions on the unit ball are also obtained
Cite
@article{arxiv.1109.5578,
title = {Trace theorems in harmonic function spaces on (R^n+1)^m,multiplier theorems and related problems},
author = {Milos Arsenovic and Romi F. Shamoyan},
journal= {arXiv preprint arXiv:1109.5578},
year = {2012}
}
Comments
17 pages