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Eurasian Mathematical Journal, 2014, том 5, номер 1, страницы 61–81
(Mi emj149)
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Spaces of generalised smoothness in summability problems for $\Phi$-means of spectral decomposition
T. G. Ayelea, M. L. Goldmanb a Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia
b Department of nonlinear analysis and optimization,
Peoples' Friendship University of Russia,
6 Miklukho–Maklaya, 117198 Moscow, Russia
Аннотация:
We establish conditions for localization of generalised Riesz means of spectral decomposition by system of fundamental functions of Laplace operator in terms of belongingness of the decomposing function to the spaces of generalised smoothness.
Ключевые слова и фразы:
spectral decompositions, summation method, principle of localization, spaces of generalised smoothness.
Поступила в редакцию: 27.05.2012
Образец цитирования:
T. G. Ayele, M. L. Goldman, “Spaces of generalised smoothness in summability problems for $\Phi$-means of spectral decomposition”, Eurasian Math. J., 5:1 (2014), 61–81
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj149 https://www.mathnet.ru/rus/emj/v5/i1/p61
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Страница аннотации: | 334 | PDF полного текста: | 131 | Список литературы: | 72 |
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