From the 2 of 6 linked papers with an AI index.
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Stability of the -Poincaré inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps
Nurgissa Yessirkegenov, Amir Zhangirbayev
The paper establishes stability estimates for the L^p‑Poincaré inequality under Lebesgue and Gaussian measures with explicit geometric constants, and applies these results to obtai…
Sharp remainder formulae for general weighted Hardy and Rellich type inequalities for
Yerkin Shaimerdenov, Nurgissa Yessirkegenov, Amir Zhangirbayev
Inspired by the work of Cossetti and D'Arca [CD25], we show that the general weighted -Hardy type inequalities [CD25, Theorems 1.1 and 1.2] and the corresponding identities…
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.…
Sharp remainder of the -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 for complex-valued functions. In spe…