BooksecrCollected Volumepp. 201–226

LpL^p-independence of growth bounds of Feynman–Kac semigroups

  • Masayoshi Takeda

    Tohoku University, Sendai, Japan
$L^p$-independence of growth bounds of Feynman–Kac semigroups cover
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Abstract

The theory of Dirichlet forms is an L2L^2-theory, while the theory of Markov processes is, in a sense, an L1L^1-theory. To bridge this gap, we study the LpL^p-independence of growth bounds of Markov semigroups, more generally, of generalized Feynman–Kac (Schrödinger) semigroups. A key idea for the proof of the LpL^p-independence is to employ arguments in the Donsker-Varadhan large deviation theory.