A. Zhangirbayev

collaborators

7 papers

math.AP2026

Explicit sharp gradient stability of the $L^{p}$ -Poincaré inequality and fundamental gaps for the Dirichlet $p$ -Laplacian operator

Nurgissa Yessirkegenov, Amir Zhangirbayev

In this paper, we prove the gradient stability of the $L^{p}$ -Poincaré inequality with explicit constants on bounded convex domains for any $1 < p < \infty$ . These estimates control th…

math.FA2026

Sharp forms and quantitative stability for general weighted discrete $p$ -Hardy inequalities

Nurgissa Yessirkegenov, Amir Zhangirbayev

In this paper, we provide a sharp remainder term for the general weighted discrete $p$ -Hardy inequality. By choosing appropriate weights and specifying $1 < p < \infty$ , we are able to…

math.AP2026

Sharp remainder formulae for general weighted Hardy and Rellich type inequalities for $1 < p < \infty$

Yerkin Shaimerdenov, Nurgissa Yessirkegenov, Amir Zhangirbayev

Inspired by the work of Cossetti and D'Arca [CD25], we show that the general weighted $L^{p}$ -Hardy type inequalities [CD25, Theorems 1.1 and 1.2] and the corresponding identities…

math.AP2026

Stability of the $L^{p}$ -Poincaré inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps

Nurgissa Yessirkegenov, Amir Zhangirbayev

In this paper, we obtain stability results for the $L^{p}$ -Poincaré inequality for both Lebesgue measure and Gaussian probability measure (Theorem 3.3 and Theorem 3.13) that involv…

math.AP2025

Sharp remainder terms and stability of weighted Hardy-Poincaré and Heisenberg-Pauli-Weyl inequalities related to the Baouendi-Grushin operator

Yerkin Shaimerdenov, Nurgissa Yessirkegenov, Amir Zhangirbayev

In this paper, we obtain sharp remainder terms for the Hardy-Poincaré inequalities with general non-radial weights in the setting of Baouendi-Grushin vector fields (see Theorem 2.5…

math.AP2025

Sharp remainder of the $L^{p}$ -Poincaré inequality for Baouendi-Grushin vector fields

Kuralay Apseit, Nurgissa Yessirkegenov, Amir Zhangirbayev

In this paper, we establish a sharp remainder formula for the Poincaré inequality for Baouendi-Grushin vector fields in the setting of $L^{p}$ for complex-valued functions. In spec…

math.FA2025

Refined general weighted $L^{p}$ -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 $v$ and $w$ such that we have a general weighted $L^{p}$ -Hardy type identity. The result, for a ce…

Explicit sharp gradient stability of the Lp-Poincaré inequality and fundamental gaps for the Dirichlet p-Laplacian operator

Sharp forms and quantitative stability for general weighted discrete p-Hardy inequalities

Sharp remainder formulae for general weighted Hardy and Rellich type inequalities for 1<p<∞

Stability of the Lp-Poincaré inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps

Sharp remainder terms and stability of weighted Hardy-Poincaré and Heisenberg-Pauli-Weyl inequalities related to the Baouendi-Grushin operator

Sharp remainder of the Lp-Poincaré inequality for Baouendi-Grushin vector fields

Refined general weighted Lp-Hardy and Caffarelli-Kohn-Nirenberg type inequalities and identities related to the Baouendi-Grushin operator

Explicit sharp gradient stability of the $L^{p}$ -Poincaré inequality and fundamental gaps for the Dirichlet $p$ -Laplacian operator

Sharp forms and quantitative stability for general weighted discrete $p$ -Hardy inequalities

Sharp remainder formulae for general weighted Hardy and Rellich type inequalities for $1 < p < \infty$

Stability of the $L^{p}$ -Poincaré inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps

Sharp remainder of the $L^{p}$ -Poincaré inequality for Baouendi-Grushin vector fields

Refined general weighted $L^{p}$ -Hardy and Caffarelli-Kohn-Nirenberg type inequalities and identities related to the Baouendi-Grushin operator