3 problems

On $\mathbb{T}^2$, let $\Delta_H$ be the Baouendi–Grushin sub-Laplacian and let $c>0$ be the constant in the singular Weyl measure $c\delta_S$, where $S=\{0\}\times\mathbb{T}$. Let…

On $\mathbb{T}^2$, let $X=\partial_x$, $Y=2(1-\cos x)\partial_y$, and let $\Delta_H=X^2+Y^2$. The singular set is $S=\{0\}\times\mathbb{T}$, and $c>0$ is the constant in the singul…

Weighted subelliptic extension conjecture. The theory developed by Sawyer and Wheeden for subelliptic operators should extend to weighted subelliptic operators with $A_{2}$ weights…