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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Three weight Hardy inequality on measure topological spaces
K. T. Mynbaev International School of Economics,
Kazakh-British Technical University,
Tolebi 59,
050000 Almaty, Kazakhstan
Аннотация:
For the Hardy inequality to hold on a Hausdorff topological space, we obtain necessary and sufficient conditions on the weights and measures. As in the recent paper by G. Sinnamon (2022), we assume total orderedness of the family of sets that generate the Hardy operator. Sinnamon’s method consists in the reduction of the problem to an equivalent one-dimensional problem. We provide a different, direct proof which develops the approach suggested by D. Prokhorov (2006) in the one-dimensional case.
Ключевые слова и фразы:
Hardy operator, topological space, measure space, multidimensional Hardy inequality.
Поступила в редакцию: 18.02.2023
Образец цитирования:
K. T. Mynbaev, “Three weight Hardy inequality on measure topological spaces”, Eurasian Math. J., 14:2 (2023), 58–78
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj469 https://www.mathnet.ru/rus/emj/v14/i2/p58
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Страница аннотации: | 85 | PDF полного текста: | 46 | Список литературы: | 21 |
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