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math.AP2022
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…
math.AP2022
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…