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^*

^*Corresponding author for this work

University of Washington

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

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	4120-4139
Number of pages	20
Journal	Journal of Functional Analysis
Volume	262
Issue number	9
DOIs	https://doi.org/10.1016/j.jfa.2012.02.011
Publication status	Published - 1 May 2012
Externally published	Yes

Keywords

Feynman-Kac transform
Girsanov transform
Quadratic form
Spectral bound

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10.1016/j.jfa.2012.02.011

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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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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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JO - Journal of Functional Analysis

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ER -

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

Abstract

Keywords

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