Intrinsic ultracontractivity and conditional gauge for symmetric stable processes

Zhen Qing Chen; Renming Song

doi:10.1006/jfan.1997.3104

Intrinsic ultracontractivity and conditional gauge for symmetric stable processes

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Abstract

It is shown in this paper that the conditional gauge theorem holds for symmetricα-stable processes on boundedC^1,1domains 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.

Original language	English (US)
Pages (from-to)	204-239
Number of pages	36
Journal	Journal of Functional Analysis
Volume	150
Issue number	1
DOIs	https://doi.org/10.1006/jfan.1997.3104
State	Published - Oct 15 1997

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Analysis

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title = "Intrinsic ultracontractivity and conditional gauge for symmetric stable processes",

abstract = "It 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.",

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AB - It 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.

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Intrinsic ultracontractivity and conditional gauge for symmetric stable processes

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