Harnack inequality for stable processes on d-sets
From MaRDI portal
Publication:4484613
DOI10.4064/sm158-2-5zbMath1031.60070OpenAlexW1970695498WikidataQ110598170 ScholiaQ110598170MaRDI QIDQ4484613
Krzysztof Bogdan, Paweł Sztonyk, Andrzej Stós
Publication date: 12 June 2003
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/sm158-2-5
Related Items
Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket ⋮ Density of extremal measures in parabolic potential theory ⋮ The estimates of the mean first exit time from a ball for the \(\alpha \)-stable Ornstein-Uhlenbeck processes ⋮ Existence of solutions for a fractional semilinear parabolic equation with singular initial data ⋮ Harnack inequalities for non-local operators of variable order ⋮ Boundary Harnack Principle for fractional powers of Laplacian on the Sierpiński carpet ⋮ Stable semigroups on homogeneous trees and hyperbolic spaces ⋮ Smoothing effect and derivative formulas for Ornstein-Uhlenbeck processes driven by subordinated cylindrical Brownian noises ⋮ Bottom crossing probability for symmetric jump processes ⋮ Time Analyticity for Nonlocal Parabolic Equations ⋮ Sharp estimates for \(W\)-invariant Dunkl and heat kernels in the \(A_n\) case ⋮ BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations ⋮ Estimates of the transition densities for the reflected Brownian motion on simple nested fractals ⋮ Probability computation for high-dimensional semilinear SDEs driven by isotropic \(\alpha\)-stable processes via mild Kolmogorov equations ⋮ Two-sided optimal bounds for Green functions of half-spaces for relativistic \(\alpha\)-stable process ⋮ Function spaces via fractional Poisson kernel on Carnot groups and applications ⋮ Time-dependent gradient perturbations of fractional Laplacian ⋮ Hausdorff dimensions of inverse images and collision time sets for symmetric Markov processes ⋮ Existence of solutions for an inhomogeneous fractional semilinear heat equation ⋮ Hölder continuous of the solutions to stochastic nonlocal heat equations ⋮ On Kelvin transformation ⋮ Heat kernel estimates for the fractional Laplacian with Dirichlet conditions ⋮ A generalization of the Littlewood-Paley inequality for the fractional Laplacian ⋮ Estimates of heat kernel of fractional Laplacian perturbed by gradient operators ⋮ Rate functions for symmetric Markov processes via heat kernel ⋮ On Harnack inequality for \(\alpha\)-stable Ornstein-Uhlenbeck processes ⋮ Yaglom limit for stable processes in cones ⋮ Spectral cluster estimates for Schrödinger operators of relativistic type ⋮ Estimates and structure of \(\alpha\)-harmonic functions ⋮ On a class of Calderón-Zygmund operators arising from projections of martingale transforms ⋮ Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket ⋮ Constructions of coupling processes for Lévy processes ⋮ Nonlocal maximum principles for active scalars ⋮ Harnack inequalities for Ornstein-Uhlenbeck processes driven by Lévy processes ⋮ On exit time from balls of jump-type symmetric Markov processes ⋮ Exponential ergodicity of stochastic Burgers equations driven by \(\alpha\)-stable processes ⋮ Harnack's inequality for stable Lévy processes ⋮ Regularity results for a class of generalized surface quasi-geostrophic equations ⋮ Optimal singularities of initial data for solvability of the Hardy parabolic equation ⋮ Anomalous diffusion limit of kinetic equations in spatially bounded domains ⋮ A Widder's type theorem for the heat equation with nonlocal diffusion ⋮ Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders ⋮ Stability of heat kernel estimates for symmetric non-local Dirichlet forms ⋮ Non-existence of positive solutions to nonlocal Lane-Emden equations ⋮ Subgeometric rates of convergence for Markov processes under subordination ⋮ Boundary Harnack inequality for Markov processes with jumps ⋮ A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium ⋮ Transition density estimates for relativistic alpha-stable processes on metric spaces ⋮ On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations ⋮ Resistance forms, quasisymmetric maps and heat kernel estimates