Trace theorems in harmonic function spaces on (R^n+1)^m,multiplier theorems and related problems
Milos Arsenovic, Romi F. Shamoyan
TL;DR
This paper introduces new harmonic function spaces on product domains, establishes norm estimates for expanded Bergman projections, and proves sharp multiplier theorems on Sobolev-type harmonic function spaces.
Contribution
It presents novel harmonic function spaces on product domains, provides norm estimates for expanded Bergman projections, and establishes sharp multiplier theorems for Sobolev-type harmonic spaces.
Findings
Norm estimates for expanded Bergman projections
Sharp multiplier theorems for Sobolev harmonic spaces
Introduction of new harmonic function spaces on product domains
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
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Algebraic and Geometric Analysis