Weighted Caffarelli-Kohn-Nirenberg type inequalities related to Grushin type operators

Manli Song, Wenjuan Li

We consider the Grushin type operator on ${\mathbb{R}}_x^d\times {\mathbb{R}}_y^k$ with the form \begin{equation*} G_μ=\overset{d}{\underset{i=1}{\sum}}\partial_{x_i}^2+\left(\ove…