6 citations · 15 across the 18 of their papers we have counts for
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Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this note we prove the Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogeneous nor…
Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and -sub-Laplacian systems
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this paper we prove the fractional Gagliardo-Nirenberg inequality on homogeneous Lie groups. Also, we establish weighted fractional Caffarelli-Kohn-Nirenberg inequality and Lyap…
Some functional inequalities for the fractional p-sub-Laplacian
Aidyn Kassymov, Durvudkhan Suragan
In this paper we study the fractional Dirichlet p-sub-Laplacian in a Haar measurable set on homogeneous Lie groups. We prove fractional Sobolev and Hardy inequalities and we also p…