Die L1-Topologie subharmonischer Metriken: Eine Abschätzung und einige Kompaktheitseigenschaften.
Differentiability of excessive functions of one-dimensional diffusions and the principle of smooth fit
The principle of smooth fit is probably the most used tool to find solutions to optimal stopping problems of one-dimensional diffusions. It is important, e.g., in financial mathematical applications to understand in which kind of models and problems smooth fit can fail. In this paper we connect-in case of one-dimensional diffusions-the validity of smooth fit and the differentiability of excessive functions. The basic tool to derive the results is the representation theory of excessive functions;...
Dirichlet's Boundary Value Problem for Harmonic Mappings of Riemannian Manifolds.
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.
Fine topology of variable exponent energy superminimizers.
Finely holomorphic and finely subharmonic functions in contour-solid problems.
Finely holomorphic functions and finely harmonic morphisms.
Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes
Green kernel estimates and the full Martin boundary for random walks on lamplighter groups and Diestel–Leader graphs
-spaces of conjugate systems on local fields
Hardy-type spaces of harmonic functions on symmetric spaces on noncompact type.
Harmonic functions and Hardy spaces on trees with boundaries
Harmonic Functions of Polynomial Growth on Certain Complete Manifolds.
Harmonic functions on homogeneous spaces of commutator induced extensions of compact groups
Harmonic Functions on Riemannian Manifolds