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Boundary singularity of Poisson and harmonic Bergman kernels

SYSNO ASEP	0446809
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Boundary singularity of Poisson and harmonic Bergman kernels
Author(s)	Engliš, Miroslav (MU-W)_{RID, ORCID, SAI}
Source Title	Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X Roč. 429, č. 1 (2015), s. 233-272
Number of pages	40 s.
Language	eng - English
Country	US - United States
Keywords	harmonic Bergman kernel ; Poisson kernel ; pseudodifferential boundary operators
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
Institutional support	MU-W - RVO:67985840
UT WOS	000354230600013
EID SCOPUS	84933177695
DOI	10.1016/j.jmaa.2015.03.081
Annotation	We give a complete description of the boundary behaviour of the Poisson kernel and the harmonic Bergman kernel of a bounded domain with smooth boundary, which in some sense is an analogue of the similar description for the usual Bergman kernel on a strictly pseudoconvex domain due to Fefferman. Our main tool is the Boutet de Monvel calculus of pseudodifferential boundary operators, and in fact we describe the boundary singularity of a general potential, trace or singular Green operator from that calculus.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2016

Number of the records: 1