Počet záznamů: 1  

Boundary singularity of Poisson and harmonic Bergman kernels

  1. 1.
    0446809 - MU-W 2016 RIV US eng J - Článek v odborném periodiku
    Engliš, Miroslav
    Boundary singularity of Poisson and harmonic Bergman kernels.
    Journal of Mathematical Analysis and Applications. Roč. 429, č. 1 (2015), s. 233-272. ISSN 0022-247X
    Grant CEP: GA AV ČR IAA100190802
    Institucionální podpora: RVO:67985840
    Klíčová slova: harmonic Bergman kernel * Poisson kernel * pseudodifferential boundary operators
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.014, rok: 2015
    http://www.sciencedirect.com/science/article/pii/S0022247X15003170

    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.
    Trvalý link: http://hdl.handle.net/11104/0248777
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