Einige Bemerkungen über den Satz von Keldych.
Éléments extrémaux pour le balayage
Envelope of Dirichlet problems on a domain in
Equidistribution of Small Points, Rational Dynamics, and Potential Theory
Given a rational function on of degree at least 2 with coefficients in a number field , we show that for each place of , there is a unique probability measure on the Berkovich space such that if is a sequence of points in whose -canonical heights tend to zero, then the ’s and their -conjugates are equidistributed with respect to .The proof uses a polynomial lift of to construct a two-variable Arakelov-Green’s function for each . The measure is obtained by taking the...
Equivalence of weak and viscosity solutions to the -Laplace equation in the Heisenberg group.
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 de Dirichlet et capacités fonctionnelles sur des triplets de Hilbert Schmidt
Espaces harmoniques et processus de Markov
Estimates for capacities and traces of potentials.
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.
Examples in the Classification Theory of Riemannian Manifolds and the Equation ...u = Pu.
Examples of non-local time dependent or parabolic Dirichlet spaces
In [23] M. Pierre introduced parabolic Dirichlet spaces. Such spaces are obtained by considering certain families of Dirichlet forms. He developed a rather far-reaching and general potential theory for these spaces. In particular, he introduced associated capacities and investigated the notion of related quasi-continuous functions. However, the only examples given by M. Pierre in [23] (see also [22]) are Dirichlet forms arising from strongly parabolic differential operators of second order. To...
Exceptional Sets in a Product of Harmonie Spaces.
Existence of feasible potentials on infinite networks.
Existence of positive harmonic functions on groups and on covering manifolds
Existence of quasi-isometric mappings and Royden compactifications.
Exponentials Form a Basis of Discrete Holomorphic Functions on a Compact
We show that discrete exponentials form a basis of discrete holomorphic functions on a finite critical map. On a combinatorially convex set, the discrete polynomials form a basis as well.
Extremal plurisubharmonic functions
We study different notions of extremal plurisubharmonic functions.
Extremal plurisubharmonic functions and invariant pseudodistances