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

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

85 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	204-239
页数	36
期刊	Journal of Functional Analysis
卷	150
期	1
DOI	https://doi.org/10.1006/jfan.1997.3104
出版状态	已出版 - 15 10月 1997
已对外发布	是

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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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DO - 10.1006/jfan.1997.3104

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VL - 150

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EP - 239

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Intrinsic ultracontractivity and conditional gauge for symmetric stable processes

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