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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 22, Fasc. 2,
pages 419 - 441
 

THE ESTIMATES FOR THE GREEN FUNCTION IN LIPSCHITZ DOMAINS FOR THE SYMMETRIC STABLE PROCESSES

Tomasz Jakubowski

Abstract: We give sharp global estimates for the Green function, Martin kernel and Poisson kernel in Lipschitz domains for symmetric a -stable processes. We give some applications of the estimates.

1991 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: Green function, Lipschitz domain, Poisson kernel, boundary Harnack principle.

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