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Einige Bemerkungen über den Satz von Keldych.

Horst Schirmeier, Ursula Schirmeier (1978)

Mathematische Annalen

Éléments extrémaux pour le balayage

Gabriel Mokobodzki (1969/1970)

Séminaire Brelot-Choquet-Deny. Théorie du potentiel

Envelope of Dirichlet problems on a domain in $C^{n}$

Eric Bedford (1985)

Annales Polonici Mathematici

Equidistribution of Small Points, Rational Dynamics, and Potential Theory

Matthew H. Baker, Robert Rumely (2006)

Annales de l’institut Fourier

Given a rational function $ϕ (T)$ on $ℙ^{1}$ of degree at least 2 with coefficients in a number field $k$ , we show that for each place $v$ of $k$ , there is a unique probability measure $μ_{ϕ, v}$ on the Berkovich space $ℙ_{Berk, v}^{1} / ℂ_{v}$ such that if ${z_{n}}$ is a sequence of points in $ℙ^{1} (\bar{k})$ whose $ϕ$ -canonical heights tend to zero, then the $z_{n}$ ’s and their $Gal (\bar{k} / k)$ -conjugates are equidistributed with respect to $μ_{ϕ, v}$ .The proof uses a polynomial lift $F (x, y) = (F_{1} (x, y), F_{2} (x, y))$ of $ϕ$ to construct a two-variable Arakelov-Green’s function $g_{ϕ, v} (x, y)$ for each $v$ . The measure $μ_{ϕ, v}$ is obtained by taking the...

Equivalence of weak and viscosity solutions to the $p$ -Laplace equation in the Heisenberg group.

Bieske, Thomas (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

Erratum to : “Green kernel estimates and the full Martin boundary for random walks on lamplighter groups and Diestel–Leader graphs”

Sara Brofferio, Wolfgang Woess (2006)

Annales de l'I.H.P. Probabilités et statistiques

Erratum to "M-Harmonic Besov p-spaces and Hankel operators in the Bergman Space on the Ball in Cn".

E.H. Youssfi, Kyong T. Hahn (1991)

Manuscripta mathematica

Espaces de Dirichlet et capacités fonctionnelles sur des triplets de Hilbert Schmidt

Philippe Paclet (1977/1978)

Séminaire Paul Krée

Espaces harmoniques et processus de Markov

Jean Guillerme (1970/1971)

Séminaire Brelot-Choquet-Deny. Théorie du potentiel

Estimates for capacities and traces of potentials.

Maz'ya, V.G., Preobrazenskij, S.P. (1984)

International Journal of Mathematics and Mathematical Sciences

Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian

Krzysztof Bogdan, Paweł Sztonyk (2007)

Studia Mathematica

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.

M. Glasner, R. Katz, M. Nakai (1971)

Mathematische Zeitschrift

Examples of non-local time dependent or parabolic Dirichlet spaces

Niels Jacob (1993)

Colloquium Mathematicae

In [23] M. Pierre introduced parabolic Dirichlet spaces. Such spaces are obtained by considering certain families ${(E^{(τ)})}_{τ \in ℝ}$ 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...

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

Urban Cegrell, Johan Thorbiörnson (1996)

Annales Polonici Mathematici

We study different notions of extremal plurisubharmonic functions.

Extremal plurisubharmonic functions and invariant pseudodistances

M. Klimek (1985)

Bulletin de la Société Mathématique de France

Currently displaying 1 – 20 of 22