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

Masayoshi Takeda; Yoshihiro Tawara

doi:10.1515/FORUM.2009.053

Published by De Gruyter September 3, 2009

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

Masayoshi Takeda and Yoshihiro Tawara

From the journal Forum Mathematicum

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

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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

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

Abstract

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