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

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

2011-05-17

arxiv.org/abs/1105.3296v2

Mathematics

Probability

Revision. To appear in J. Funct. Anal.

Scientific paper

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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