On the Iterated Green Functions on a Bounded Domain and Their Related Kato Class of Potentials
نویسندگان
چکیده
We use the results of Zhang [15, 16] and Davies [7] on the behavior of the heat kernel p(t, x, y) on a bounded C domain D to find again the result of Grunau-Sweers [9] concerning the estimates of the iterated Greens functions Gm,n(D). Next, we use these estimates to characterize, by means of p(t, x, y), the Kato class Km,n(D) and we give new examples of functions belonging to this class.
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