Intrinsic Ultracontractivity and Conditional Gauge for Symmetric Stable Processes
نویسندگان
چکیده
منابع مشابه
Intrinsic Ultracontractivity, Conditional Lifetimes and Conditional Gauge for Symmetric Stable Processes on Rough Domains
For a symmetric α-stable process X on Rn with 0 < α < 2, n ≥ 2 and a domain D ⊂ Rn, let LD be the infinitesimal generator of the subprocess ofX killed upon leaving D. For a Kato class function q, it is shown that LD + q is intrinsic ultracontractive on a Hölder domain D of order 0. This is then used to establish the conditional gauge theorem for X on bounded Lipschitz domains in Rn. It is also ...
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Recently in [17, 18], we extended the concept of intrinsic ultracontractivity to nonsymmetric semigroups and proved that for a large class of non-symmetric diffusions Z with measure-valued drift and potential, the semigroup of ZD (the process obtained by killing Z upon exiting D) in a bounded domain is intrinsic ultracontractive under very mild assumptions. In this paper, we study the intrinsic...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1997
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3104