Intrinsic ultracontractivity of the Feynman-Kac semigroup for relativistic stable processes

DOI10.1090/S0002-9947-06-03931-6zbMath1112.47034MaRDI QIDQ3420355

Tadeusz Kulczycki, Bartłomiej A. Siudeja

Publication date: 1 February 2007

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

zbMATH Keywords

Schrödinger operatorFeynman-Kac semigroupintrinsic ultracontractivityfirst eigenfunctionrelativistic

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Applications of operator theory in the physical sciences (47N50) Quantum stochastic calculus (81S25) Stable stochastic processes (60G52) Schrödinger and Feynman-Kac semigroups (47D08) Pseudodifferential operators (47G30)

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Intrinsic ultracontractivity of Feynman-Kac semigroups for symmetric jump processes, Gradient estimates of harmonic functions and transition densities for Lévy processes, Boundary behavior of \(\alpha \)-harmonic functions on the complement of the sphere and hyperplane, Compactness of Schrödinger semigroups with unbounded below potentials, PATH INTEGRAL REPRESENTATION FOR SCHRÖDINGER OPERATORS WITH BERNSTEIN FUNCTIONS OF THE LAPLACIAN, Symmetric stable processes on unbounded domains, Trace estimates for unimodal Lévy processes, Upper estimates of transition densities for stable-dominated semigroups, Generalized 3G theorem and application to relativistic stable process on non-smooth open sets, Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators, Intrinsic ultracontractivity for general Lévy processes on bounded open sets, Dirichlet heat kernel for unimodal Lévy processes, Two-sided optimal bounds for Green functions of half-spaces for relativistic \(\alpha\)-stable process, Relativistic stable operators with critical potentials, \(L \log L\) condition for supercritical branching Hunt processes, Global heat kernel estimate for relativistic stable processes in exterior open sets, Fractional \(P(\phi)_1\)-processes and Gibbs measures, Heat kernel estimates for the fractional Laplacian with Dirichlet conditions, Spectral properties of the massless relativistic harmonic oscillator, Trace estimates for relativistic stable processes, Central limit theorems for supercritical branching Markov processes, Sharp heat kernel estimates for relativistic stable processes in open sets, Global heat kernel estimates for relativistic stable processes in half-space-like open sets, Spatial asymptotics at infinity for heat kernels of integro-differential operators, Intrinsic ultracontractivity and ground state estimates of non-local Dirichlet forms on unbounded open sets, Trace estimates for stable processes, Yaglom limit for stable processes in cones, Estimates of tempered stable densities, Two-term trace estimates for relativistic stable processes, Green function estimates for relativistic stable processes in half-space-like open sets, Transition density estimates for jump Lévy processes, Decay of harmonic functions for discrete time Feynman--Kac operators with confining potentials, Intrinsic ultracontractivity for Schrödinger operators based on fractional Laplacians, Uniform conditional ergodicity and intrinsic ultracontractivity, Heat kernel estimates for the Dirichlet fractional Laplacian, Limit theorems for some critical superprocesses, Bessel potentials, hitting distributions and Green functions, On the trace of symmetric stable processes on Lipschitz domains, Transition density estimates for relativistic alpha-stable processes on metric spaces, Heat kernels of non-local Schrödinger operators with Kato potentials, Compactness of Schrödinger semigroups, ONE-DIMENSIONAL QUASI-RELATIVISTIC PARTICLE IN THE BOX, Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of Lévy processes, Intrinsic contractivity properties of Feynman-Kac semigroups for symmetric jump processes with infinite range jumps

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