3 papers
math.AP2026
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…
math.AP2026
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.…
math.AP2025
Cylindrical extensions of critical Sobolev type inequalities and identities
Michael Ruzhansky, Yerkin Shaimerdenov, Nurgissa Yessirkegenov
In this paper, we investigate cylindrical extensions of critical Sobolev type (improved Hardy) inequalities and identities in the style of Badiale-Tarantello [BT02], which in a spe…