L p-independence of spectral bounds of generalized non-local Feynman-Kac semigroups

Zhen Qing Chen

doi:10.1016/j.jfa.2012.02.011

L ^p-independence of spectral bounds of generalized non-local Feynman-Kac semigroups

Zhen Qing Chen^*

^*此作品的通讯作者

University of Washington

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

Let X be a symmetric strong Markov process on a Luzin space. In this paper, we present criteria of the L ^p-independence of spectral bounds for generalized non-local Feynman-Kac semigroups of X that involve continuous additive functionals of X having zero quadratic variations and discontinuous additive functionals of X.

源语言	英语
页（从-至）	4120-4139
页数	20
期刊	Journal of Functional Analysis
卷	262
期	9
DOI	https://doi.org/10.1016/j.jfa.2012.02.011
出版状态	已出版 - 1 5月 2012
已对外发布	是

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10.1016/j.jfa.2012.02.011

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引用此

Chen, Z. Q. (2012). L ^p-independence of spectral bounds of generalized non-local Feynman-Kac semigroups. Journal of Functional Analysis, 262(9), 4120-4139. https://doi.org/10.1016/j.jfa.2012.02.011

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abstract = "Let X be a symmetric strong Markov process on a Luzin space. In this paper, we present criteria of the L p-independence of spectral bounds for generalized non-local Feynman-Kac semigroups of X that involve continuous additive functionals of X having zero quadratic variations and discontinuous additive functionals of X.",

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AB - Let X be a symmetric strong Markov process on a Luzin space. In this paper, we present criteria of the L p-independence of spectral bounds for generalized non-local Feynman-Kac semigroups of X that involve continuous additive functionals of X having zero quadratic variations and discontinuous additive functionals of X.

KW - Feynman-Kac transform

KW - Girsanov transform

KW - Quadratic form

KW - Spectral bound

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L p-independence of spectral bounds of generalized non-local Feynman-Kac semigroups

摘要

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L ^p-independence of spectral bounds of generalized non-local Feynman-Kac semigroups