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

Masayoshi Takeda; Yoshihiro Tawara

doi:10.1515/FORUM.2009.053

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

Masayoshi Takeda, Yoshihiro Tawara

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1067-1080
Number of pages	14
Journal	Forum Mathematicum
Volume	21
Issue number	6
DOIs	https://doi.org/10.1515/FORUM.2009.053
Publication status	Published - 2009 Nov 1

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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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 Lp (ℝd) is independent of p.",

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AU - Tawara, Yoshihiro

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AB - 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.

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

Abstract

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