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Intrinsic Ultracontractivity and Conditional Gauge for Symmetric Stable Processes

By Zhen-Qing Chen and Renming Song

Abstract

AbstractIt is shown in this paper that the conditional gauge theorem holds for symmetricα-stable processes on boundedC1,1domains inRnwhere 0<α<2 andn⩾2. Two of the major tools used to prove this conditional gauge theorem are logarithmic Sobolev inequality and intrinsic ultracontractivity

Publisher: Academic Press.
Year: 1997
DOI identifier: 10.1006/jfan.1997.3104
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