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Intrinsic Ultracontractivity and Conditional Gauge for Symmetric Stable Processes

✍ Scribed by Zhen-Qing Chen; Renming Song

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 456 KB
Volume: 150
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3104

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown in this paper that the conditional gauge theorem holds for symmetric :-stable processes on bounded C 1, 1 domains in R n where 0<:<2 and n 2. Two of the major tools used to prove this conditional gauge theorem are logarithmic Sobolev inequality and intrinsic ultracontractivity.

1997 Academic Press

Gauge Theorem. The function g is either bounded or identically infinite on D.

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