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Математическая физика, анализ, геометрия, 2002, том 9, номер 2, страницы 243–248
(Mi jmag286)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
On the Poisson representation of a function harmonic in the upper half-plane
Seçil Gergüna, I. V. Ostrovskiiba a Department of Mathematics, Bilkent University, 06533 Bilkent, Ankara, Turkey
b Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine
Аннотация:
New conditions of validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane and stronger restrictions on the behavior in the neighbourhood of the real axis.
Поступила в редакцию: 21.11.2001
Образец цитирования:
Seçil Gergün, I. V. Ostrovskii, “On the Poisson representation of a function harmonic in the upper half-plane”, Матем. физ., анал., геом., 9:2 (2002), 243–248
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag286 https://www.mathnet.ru/rus/jmag/v9/i2/p243
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