Trace theorems in harmonic function spaces on (R^n+1)^m,multiplier theorems and related problems

Details Trace theorems in harmonic function spaces on (R^n+1)^m,multiplier theorems and related problems Trace theorems in harmonic function spaces on (R^n+1)^m,multiplier theorems and related problems

2011-09-26

arxiv.org/abs/1109.5578v1

Kragujevac Journal of Mathematics 35 (2011),no.3, 109-126

Mathematics

Functional Analysis

17 pages

Scientific paper

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

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