On Lipm -reflection of harmonic functions over boundaries of simple Carathéodory domains

On ^Lipm -reflection of harmonic functions over boundaries of simple Carathéodory domains

Research output: Contribution to journal › Article › peer-review

Department of Mathematical Analysis

DOI

https://doi.org/10.1007/s13324-019-00296-9
Final published version

Konstantin Fedorovskiy
Petr Paramonov

We obtain several new sharp necessary and sufficient Lipm-continuity conditions for operators of harmonic reflection of functions over boundaries of simple Carathéodory domains in R^N. These results are based on our Lipm-continuity criterion for the Poisson operator in the aforementioned domains.

Original language	English
Pages (from-to)	1031-1042
Number of pages	12
Journal	Analysis and Mathematical Physics
Volume	9
Issue number	3
DOIs	https://doi.org/10.1007/s13324-019-00296-9
State	Published - 1 Sep 2019

Research areas

Harmonic measure, Harmonic reflection operator, Lipschitz–Hölder spaces, Poisson operator, Simple Carathéodory domain

Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics

ID: 86668721