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Математическая физика, анализ, геометрия, 2004, том 11, номер 1, страницы 87–106
(Mi jmag191)
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Spaces of holomorphic almost periodic functions on a strip
S. Yu. Favorov, O. I. Udodova Department of Mechanics and Mathematics, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
Аннотация:
The notions of almost periodicity in the sense of Weyl and Besicovitch of the order $p\ge 1$ are extended to holomorphic functions on a strip. We prove that the spaces of holomorphic almost periodic functions in the sense of Weyl for various orders $p$ are the same. These spaces are considerably wider than the space of holomorphic uniformly almost periodic functions and considerably narrower than the spaces of holomorphic almost periodic functions in the sense of Besicovitch. Besides we construct examples showing that the spaces of holomorphic almost periodic functions in the sense of Besicovitch for various orders $p$ are all different.
Поступила в редакцию: 31.03.2003
Образец цитирования:
S. Yu. Favorov, O. I. Udodova, “Spaces of holomorphic almost periodic functions on a strip”, Матем. физ., анал., геом., 11:1 (2004), 87–106
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag191 https://www.mathnet.ru/rus/jmag/v11/i1/p87
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Страница аннотации: | 163 | PDF полного текста: | 51 |
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