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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna

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ISSN
1435-5337
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Volume 21, Issue 6 (Jan 2009)

Issues

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

Masayoshi Takeda / Yoshihiro Tawara
Published Online: 2009-09-03 | DOI: https://doi.org/10.1515/FORUM.2009.053

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 Lp (ℝd) is independent of p.

About the article

Received: 2007-05-29

Revised: 2008-03-31

Published Online: 2009-09-03

Published in Print: 2009-11-01


Citation Information: Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/FORUM.2009.053.

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