23 citations · 48 across the 29 of their papers we have counts for
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Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this note we prove the reverse Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogen…
Reverse integral Hardy inequality on metric measure spaces
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this note, we obtain a reverse version of the integral Hardy inequality on metric measure spaces. Moreover, we give necessary and sufficient conditions for the weighted reverse…
Geometric Hardy inequalities on starshaped sets
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
In this paper, we present the geometric Hardy inequalities on the starshaped sets in the Carnot groups. Also, we obtain the geometric Hardy inequalities on half-spaces for general…