Lp -independence of spectral bounds of non-local Feynman-Kac semigroups

DOI10.1515/FORUM.2009.053zbMath1187.60058MaRDI QIDQ3401176

Yoshihiro Tawara, Masayoshi Takeda

Publication date: 29 January 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

spectral boundKato classsymmetric stable processFeynmann-Kac functional

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Schrödinger operator, Schrödinger equation (35J10) Right processes (60J40)

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Large deviation principles for generalized Feynman-Kac functionals and its applications ⋮ Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ Differentiability of spectral functions for nearly stable processes and large deviations ⋮ A large deviation principle for symmetric Markov processes normalized by Feynman-Kac functionals ⋮ \(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups ⋮ On quasi-stationaries for symmetric Markov processes ⋮ \(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups ⋮ On the \(l^p\) spectrum of Laplacians on graphs ⋮ A large deviation principle for symmetric Markov processes with Feynman-Kac functional ⋮ Large deviations for discontinuous additive functionals of symmetric stable processes ⋮ \(L^p\)-independence of spectral bounds of Feynman-Kac semigroups by continuous additive functionals ⋮ \(L^p\)-independence of spectral bounds of Schrödinger-type operators with non-local potentials

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