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This article is cited in 2 scientific papers (total in 2 papers) 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 Abstract: 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. Keywords and phrases: net spaces, Lie groups, homogeneous manifolds, Hardy–Littlewood inequality.
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MSC: 35G10, 35L30, 46F05 Received: 27.02.2016 Revised: 10.02.2017 Language: Citation: R. Akylzhanov, M. Ruzhansky, “Net spaces on lattices, Hardy–Littlewood type inequalities, and their converses”, Eurasian Math. J., 8:3 (2017), 
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Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles:
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