Zhongwei Shen
On Fundamental Solutions of Generalized Schrodinger Operators
(73K, AMS-TeX)

ABSTRACT.  We consider the generalized Schrodinger operator $-\Delta +\mu$ 
where $\mu$ is a nonnegative Radon measure in $R^n, n\ge 3$. Assuming 
that $\mu$ satisfies certain scale-invariant Kato condition and 
doubling condition, we establish the upper and lower bounds for the 
fundamental solution of $-\Delta +\mu$ in $R^n$. We also study 
the boundedness of the corresponding Riesz transform on $L^p$.