A weighted estimate for generalized harmonic extensions
Roberta Musina, Alexander I. Nazarov
TL;DR
This paper establishes weighted $L_p$ estimates for generalized harmonic extensions in the half-space, contributing to the understanding of harmonic analysis and PDE boundary behaviors.
Contribution
It provides new weighted $L_p$ estimates for generalized harmonic extensions, advancing the theoretical framework in harmonic analysis.
Findings
Weighted $L_p$ estimates proven for generalized harmonic extensions
Results applicable to boundary value problems in half-space
Enhances understanding of harmonic extension behaviors
Abstract
We prove some weighted estimates for generalized harmonic extensions in the half-space.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Nonlinear Partial Differential Equations · Advanced Mathematical Physics Problems