Gaugeability for Feynman-Kac functionals with applications to symmetric 𝛼-stable processes

DOI10.1090/S0002-9939-06-08281-5zbMath1091.60017OpenAlexW1530910294MaRDI QIDQ5469238

Masayoshi Takeda

Publication date: 17 May 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08281-5

zbMATH Keywords

branching processsubcriticalityultracontractivitygaugeabilitySymmetric stable process

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Schrödinger operator, Schrödinger equation (35J10) Right processes (60J40)

Related Items (12)

A refinement of analytic characterizations of gaugeability for generalized Feynman-Kac functionals ⋮ Branching Brownian motions on Riemannian manifolds: expectation of the number of branches hitting closed sets ⋮ Asymptotic behavior of the fundamental solutions for critical Schrödinger forms ⋮ Stability of estimates for fundamental solutions under Feynman-Kac perturbations for symmetric Markov processes ⋮ Heat kernel estimates of fractional Schrödinger operators with negative Hardy potential ⋮ Time-dependent gradient perturbations of fractional Laplacian ⋮ Analytic characterizations of gaugeability for generalized Feynman-Kac functionals ⋮ Ergodic-type limit theorem for fundamental solutions of critical Schrödinger operators ⋮ Estimates of heat kernel of fractional Laplacian perturbed by gradient operators ⋮ Extinction of branching symmetric α-stable processes ⋮ Large time asymptotics of Feynman-Kac functionals for symmetric stable processes ⋮ Gaussian bounds of heat kernels for Schrödinger operators on Riemannian manifolds

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