Schrödinger Operators With $A_{\infty }$ Potentials

Andrew Raich, Michael Tinker

We study the heat kernel $p(x,y,t)$ associated to the real Schrödinger operator $H=-\Delta +V$ on $L^2({\mathbb{R}}^n)$, $n\ge 1$. Our main result is a pointwise upper bound on $p$ wh…