Harmonic Hardy spaces on smooth domains
Tomasz Luks
TL;DR
This paper characterizes harmonic Hardy spaces and analyzes the boundary behavior of harmonic functions on smooth domains in Euclidean space.
Contribution
It provides a new characterization of harmonic Hardy spaces and insights into boundary behavior on smooth domains.
Findings
Harmonic Hardy spaces are characterized in terms of boundary limits.
Boundary behavior of harmonic functions is described in smooth domains.
Results extend classical theory to more general smooth domains.
Abstract
The objective of this paper is to characterize harmonic Hardy spaces and a boundary behavior of harmonic functions on a smooth domain in real Euclidean space.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Differential Equations and Boundary Problems