33 citations · 69 across the 21 of their papers we have counts for
15 papers · 1 filter
Sharp forms and quantitative stability for general weighted discrete -Hardy inequalities
Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we provide a sharp remainder term for the general weighted discrete -Hardy inequality. By choosing appropriate weights and specifying , we are able to…
Refined general weighted -Hardy and Caffarelli-Kohn-Nirenberg type inequalities and identities related to the Baouendi-Grushin operator
Nurgissa Yessirkegenov, Amir Zhangirbayev
In this paper, we present a sufficient condition on a pair of nonnegative weights and such that we have a general weighted -Hardy type identity. The result, for a ce…
Unified weighted Hardy-type inequalities
Durvudkhan Suragan, Nurgissa Yessirkegenov
We present a unified approach to obtain Hardy-type inequalities in the context of nilpotent Lie groups with sharp constants. The unified methodology employed herein allows for expl…
Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups
Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper we establish a number of geometrical inequalities such as Hardy, Sobolev, Rellich, Hardy-Littlewood-Sobolev, Caffarelli-Kohn-Nirenberg, Gagliardo-Nirenberg inequaliti…
Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups
Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov
In this paper we describe the Euler semigroup on homogeneous Lie groups, which allows us to obtain various types of the Hardy-Sobolev and…
Hypoelliptic functional inequalities
Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie groups. The obtained inequalitie…
Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature
Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper we obtain Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities with sharp constants on Riemannian manifolds with non-positive sectional cur…
Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states
Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper we investigate critical Gagliardo-Nirenberg, Trudinger-type and Brezis-Gallouet-Wainger inequalities associated with the positive Rockland operators on graded Lie gro…
Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups
Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov
In this short paper, we establish a range of Caffarelli-Kohn-Nirenberg and weighted -Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with s…
Rellich inequalities for sub-Laplacians with drift
Michael Ruzhansky, Nurgissa Yessirkegenov
In this note we prove horizontal weighted Rellich inequalities for the sub-Laplacian and for sub-Laplacians with drift on general stratified groups. We show how the presence of a d…
Factorizations and Hardy-Rellich inequalities on stratified groups
Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper, we obtain Hardy, Hardy-Rellich and refined Hardy inequalities on general stratified groups and weighted Hardy inequalities on general homogeneous groups using the fa…
Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I
Ari Laptev, Michael Ruzhansky, Nurgissa Yessirkegenov
In this paper we prove the Hardy inequalities for the quadratic form of the Laplacian with the Landau Hamiltonian magnetic field. Moreover, we obtain Poincaré type inequality and i…
Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for -weighted Hardy inequalities
Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov
In this paper we give an extension of the classical Caffarelli-Kohn-Nirenberg inequalities: we show that for , with , $δ\in[0,1]\cap\left[\fra…
Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces
Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov
We analyse Morrey spaces, generalised Morrey spaces and Campanato spaces on homogeneous groups. The boundedness of the Hardy-Littlewood maximal operator, Bessel-Riesz operators, ge…
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…