Envelope of Dirichlet problems on a domain in
Erratum to : “Green kernel estimates and the full Martin boundary for random walks on lamplighter groups and Diestel–Leader graphs”
Erratum to "M-Harmonic Besov p-spaces and Hankel operators in the Bergman Space on the Ball in Cn".
Espaces harmoniques et processus de Markov
Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
We characterize those homogeneous translation invariant symmetric non-local operators with positive maximum principle whose harmonic functions satisfy Harnack's inequality. We also estimate the corresponding semigroup and the potential kernel.
Extremal plurisubharmonic functions
We study different notions of extremal plurisubharmonic functions.