L^p-independence of spectral bounds of Schrodinger-type operators with non-local potentials

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概要

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• We establish a necessary and sufficient condition for spectral bounds of a non-local Feynman-Kac semigroup being Lp-independent. This result is an extension of that in [24] to more general symmetric Markov processes; in [24], we only treated a symmetric stable process on Rd. For example, we consider a symmetric stable process on the hyperbolic space, the jump process generated by the fractional power of the Laplace-Beltrami operator, and prove that by adding a non-local potential, the associated Feynman-Kac semigroup satisfies the Lp-independence.

• 社団法人 日本数学会の論文
• 2010-07-01

著者

• Tawara Yoshihiro

  Mathematical Institute Tohoku University

関連論文

• L^p-independence of spectral bounds of Schrodinger-type operators with non-local potentials

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