 99193 Zhongwei Shen
 On Fundamental Solutions of Generalized Schrodinger Operators
(73K, AMSTeX)
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 scaleinvariant 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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