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On Lipm -reflection of harmonic functions over boundaries of simple Carathéodory domains. / Fedorovskiy, Konstantin; Paramonov, Petr.

In: Analysis and Mathematical Physics, Vol. 9, No. 3, 01.09.2019, p. 1031-1042.

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

Harvard

Fedorovskiy, K & Paramonov, P 2019, 'On Lipm -reflection of harmonic functions over boundaries of simple Carathéodory domains', Analysis and Mathematical Physics, vol. 9, no. 3, pp. 1031-1042. https://doi.org/10.1007/s13324-019-00296-9

APA

Fedorovskiy, K., & Paramonov, P. (2019). On Lipm -reflection of harmonic functions over boundaries of simple Carathéodory domains. Analysis and Mathematical Physics, 9(3), 1031-1042. https://doi.org/10.1007/s13324-019-00296-9

Vancouver

Fedorovskiy K, Paramonov P. On Lipm -reflection of harmonic functions over boundaries of simple Carathéodory domains. Analysis and Mathematical Physics. 2019 Sep 1;9(3):1031-1042. https://doi.org/10.1007/s13324-019-00296-9

Author

Fedorovskiy, Konstantin ; Paramonov, Petr. / On Lipm -reflection of harmonic functions over boundaries of simple Carathéodory domains. In: Analysis and Mathematical Physics. 2019 ; Vol. 9, No. 3. pp. 1031-1042.

BibTeX

@article{3542aefc6d36476b99f64841e3b5e7b2,
title = "On Lipm -reflection of harmonic functions over boundaries of simple Carath{\'e}odory domains",
abstract = "We obtain several new sharp necessary and sufficient Lipm-continuity conditions for operators of harmonic reflection of functions over boundaries of simple Carath{\'e}odory domains in RN. These results are based on our Lipm-continuity criterion for the Poisson operator in the aforementioned domains.",
keywords = "Harmonic measure, Harmonic reflection operator, Lipschitz–H{\"o}lder spaces, Poisson operator, Simple Carath{\'e}odory domain",
author = "Konstantin Fedorovskiy and Petr Paramonov",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",
year = "2019",
month = sep,
day = "1",
doi = "10.1007/s13324-019-00296-9",
language = "English",
volume = "9",
pages = "1031--1042",
journal = "Analysis and Mathematical Physics",
issn = "1664-2368",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - On Lipm -reflection of harmonic functions over boundaries of simple Carathéodory domains

AU - Fedorovskiy, Konstantin

AU - Paramonov, Petr

N1 - Publisher Copyright: © 2019, Springer Nature Switzerland AG.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - 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 RN. These results are based on our Lipm-continuity criterion for the Poisson operator in the aforementioned domains.

AB - 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 RN. These results are based on our Lipm-continuity criterion for the Poisson operator in the aforementioned domains.

KW - Harmonic measure

KW - Harmonic reflection operator

KW - Lipschitz–Hölder spaces

KW - Poisson operator

KW - Simple Carathéodory domain

UR - http://www.scopus.com/inward/record.url?scp=85073985039&partnerID=8YFLogxK

U2 - 10.1007/s13324-019-00296-9

DO - 10.1007/s13324-019-00296-9

M3 - Article

AN - SCOPUS:85073985039

VL - 9

SP - 1031

EP - 1042

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

SN - 1664-2368

IS - 3

ER -

ID: 86668721