On Fundamental Solutions of Generalized Schrödinger Operators
نویسنده
چکیده
We consider the generalized Schrr odinger operator ? + where is a nonnegative Radon measure in R n , n 3. Assuming that satisses certain scale-invariant Kato condition and doubling condition, we establish the following bounds for the fundamental solution of ? + in R n : where d(x; y;) is the distance function for the modiied Agmon metric m(x;)dx 2 associated with. We also study the boundedness of the corresponding Riesz transforms r(? +) ?1=2 on L p (R n ; dx).
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