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

Masayoshi Takeda; Yoshihiro Tawara

doi:10.1515/FORUM.2009.053

Article

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

Masayoshi Takeda and Yoshihiro Tawara

Published/Copyright: September 3, 2009

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From the journal Volume 21 Issue 6

Abstract

For a symmetric stable process we consider a transform of its transition semigroup by a non-local Feynman-Kac functional. We prove that if the Feynman-Kac functional belongs to a certain class, then the spectral bound of the transformed semigroup on L^p (ℝ^d) is independent of p.

Received: 2007-05-29

Revised: 2008-03-31

Published Online: 2009-09-03

Published in Print: 2009-November

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Articles in the same Issue

A Hopf theorem for open surfaces in product spaces
On R. Steinberg's theorem on algebras of coinvariants
Natural pseudo-distances between closed curves
Clifford semigroups of ideals in monoids and domains
L^p norm estimates of eigenfunctions restricted to submanifolds
Central values of generalized multiple sine functions
L^p-independence of spectral bounds of non-local Feynman-Kac semigroups
On pairwise mutually permutable products
The block structure spaces of real projective spaces and orthogonal calculus of functors II
Erratum to: “Intrinsic ultracontractivity for non-symmetric Lévy processes” [Forum Math. 21 (2009) 43–66]

https://doi.org/10.1515/FORUM.2009.053

Articles in the same Issue

A Hopf theorem for open surfaces in product spaces
On R. Steinberg's theorem on algebras of coinvariants
Natural pseudo-distances between closed curves
Clifford semigroups of ideals in monoids and domains
L^p norm estimates of eigenfunctions restricted to submanifolds
Central values of generalized multiple sine functions
L^p-independence of spectral bounds of non-local Feynman-Kac semigroups
On pairwise mutually permutable products
The block structure spaces of real projective spaces and orthogonal calculus of functors II
Erratum to: “Intrinsic ultracontractivity for non-symmetric Lévy processes” [Forum Math. 21 (2009) 43–66]