Academic Journal
Boundary singularity of Poisson and harmonic Bergman kernels
العنوان: | Boundary singularity of Poisson and harmonic Bergman kernels |
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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 |
تدمد: | 0022247x 10960813 |
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DOI: | 10.1016/j.jmaa.2015.03.081 |