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

Zhen Qing Chen^*, Renming Song

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

83 Citations (Scopus)

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
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
Publication status	Published - 15 Oct 1997
Externally published	Yes

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10.1006/jfan.1997.3104

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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.",

author = "Chen, {Zhen Qing} and Renming Song",

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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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DO - 10.1006/jfan.1997.3104

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JO - Journal of Functional Analysis

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Intrinsic ultracontractivity and conditional gauge for symmetric stable processes

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