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Functional inequalities on symmetric spaces of noncompact type and applications
Aidyn Kassymov, Vishvesh Kumar, Michael Ruzhansky
The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main goal of this study is to estab…
Hardy inequalities on metric measure spaces, III: The case and applications
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this paper, we obtain a reverse version of the integral Hardy inequality on metric measure space with two negative exponents. Also, as for applications we show the reverse Hardy…
Hardy inequalities on constant-order noncommutative Vilenkin groups
Aidyn Kassymov, J. P Velasquez-Rodriguez
In this note we extend several integral inequalities to the context of noncommutative Vilenkin groups. We prove some sharp weak and strong type estimates for the Hardy operator and…