3 papers
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 -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 spec…
math.FA2025
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…