Sharp bounds on the density, Green function and jumping function of subordinate killed BM

zbMath1054.60080MaRDI QIDQ1434100

Renming Song

Publication date: 1 July 2004

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

subordinationBrownian motionkilling

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Transition functions, generators and resolvents (60J35)

Related Items (15)

TRANSITION DENSITIES OF SUBORDINATORS OF POSITIVE ORDER ⋮ Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradients ⋮ Harmonic functions of subordinate killed Brownian motion ⋮ Sharp estimates of the Green function of hyperbolic Brownian motion ⋮ Potential theory of special subordinators and subordinate killed stable processes ⋮ Estimates on Green functions and Schrödinger-type equations for non-symmetric diffusions with measure-valued drifts ⋮ Heat kernel estimates for subordinate Markov processes and their applications ⋮ Positive solutions for some competitive fractional systems in bounded domains ⋮ Semilinear Dirichlet problem for subordinate spectral Laplacian ⋮ On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting ⋮ Nonhomogeneous boundary conditions for the spectral fractional Laplacian ⋮ On the potential theory of one-dimensional subordinate Brownian motions with continuous components ⋮ Green function estimates and Harnack inequality for subordinate Brownian motions ⋮ Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders ⋮ Singular solutions for fractional parabolic boundary value problems

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