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

Masayoshi Takeda, Yoshihiro Tawara

Research output: Contribution to journalArticlepeer-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 Lp (ℝd) is independent of p.

Original languageEnglish
Pages (from-to)1067-1080
Number of pages14
JournalForum Mathematicum
Volume21
Issue number6
DOIs
Publication statusPublished - 2009 Nov 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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