79 citations · 356 across the 65 of their papers we have counts for
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Anisotropic -weighted Hardy and -Caffarelli-Kohn-Nirenberg inequalities
Michael Ruzhansky, Durvudkhan Suragan
We establish sharp remainder terms of the -Caffarelli-Kohn-Niren\-berg inequalities on homogeneous groups, yielding the inequalities with best constants. Our methods also gi…
Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups
Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov
We define Euler-Hilbert-Sobolev spaces and obtain embedding results on homogeneous groups using Euler operators, which are homogeneous differential operators of order zero. Sharp r…
On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and -sub-Laplacian inequalities on stratified groups
Michael Ruzhansky, Durvudkhan Suragan
In this paper, we present a version of horizontal weighted Hardy-Rellich type and Caffarelli-Kohn-Nirenberg type inequalities on stratified groups and study some of their consequen…
-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups
Tohru Ozawa, Michael Ruzhansky, Durvudkhan Suragan
We prove -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, which is one of most general subclasses of nilpotent Lie groups, all with sharp constants. We al…