On the Iterated Green Functions on a Bounded Domain and Their Related Kato Class of Potentials

摘要

We use the results of Zhang [15,16] and Davies [7] on the behavior of the heat kernel on a bounded domain to find again the result of Grunau-Sweers [9] concerning the estimates of the iterated Greens functions . Next, we use these estimates to characterize, by means of , the Kato class and we give new examples of functions belonging to this class.