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…