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

Zhen-Qing Chen

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arXiv · 1105.3296

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

Zhen-Qing Chen

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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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Zhen-Qing Chen. 2011-05-17. $L^p$-independence of spectral bounds of generalized non-local Feynman-Kac semigroups. https://arxiv.org/abs/1105.3296

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