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Eurasian Mathematical Journal, 2017, том 8, номер 3, страницы 10–27
(Mi emj262)
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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Net spaces on lattices, Hardy–Littlewood type inequalities, and their converses
R. Akylzhanov, M. Ruzhansky Department of Mathematics,
Imperial College London,
180 Queen's Gate,
London SW7 2AZ, United Kingdom
Аннотация:
We introduce abstract net spaces on directed sets and prove their embedding and interpolation properties. Typical examples of interest are lattices of irreducible unitary representations of compact Lie groups and of class I representations with respect to a subgroup. As an application, we prove Hardy–Littlewood type inequalities and their converses on compact Lie groups and on compact homogeneous manifolds.
Ключевые слова и фразы:
net spaces, Lie groups, homogeneous manifolds, Hardy–Littlewood inequality.
Поступила в редакцию: 27.02.2016 Исправленный вариант: 10.02.2017
Образец цитирования:
R. Akylzhanov, M. Ruzhansky, “Net spaces on lattices, Hardy–Littlewood type inequalities, and their converses”, Eurasian Math. J., 8:3 (2017), 10–27
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj262 https://www.mathnet.ru/rus/emj/v8/i3/p10
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