99-193 Zhongwei Shen
On Fundamental Solutions of Generalized Schrodinger Operators (73K, AMS-TeX) May 25, 99
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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 $L^p$.

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