Academic Journal

Boundary singularity of Poisson and harmonic Bergman kernels

التفاصيل البيبلوغرافية
العنوان: Boundary singularity of Poisson and harmonic Bergman kernels
المؤلفون: Engliš, M. (Miroslav)
سنة النشر: 2015
المجموعة: The Czech Academy of Sciences: Publication Activity (ASEP) / Akademie věd ČR - Publikační činnost
مصطلحات موضوعية: harmonic Bergman kernel, Poisson kernel, pseudodifferential boundary operators
الوصف: 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.
نوع الوثيقة: article in journal/newspaper
اللغة: English
تدمد: 0022-247x
1096-0813
Relation: urn:pissn: 0022-247x; urn:eissn: 1096-0813; http://hdl.handle.net/11104/0248777
DOI: 10.1016/j.jmaa.2015.03.081
الاتاحة: https://doi.org/10.1016/j.jmaa.2015.03.081
http://hdl.handle.net/11104/0248777
Rights: info:eu-repo/semantics/restrictedAccess
رقم الانضمام: edsbas.35A4BB55
قاعدة البيانات: BASE
الوصف
تدمد:0022247x
10960813
DOI:10.1016/j.jmaa.2015.03.081