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

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83 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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Chen, Z. Q., & Song, R. (1997). Intrinsic ultracontractivity and conditional gauge for symmetric stable processes. Journal of Functional Analysis, 150(1), 204-239. https://doi.org/10.1006/jfan.1997.3104

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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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