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$H$ -cones and potential theory

Nicu Boboc, Gheorghe Bucur, A. Cornea (1975)

Annales de l'institut Fourier

The $H$ -cone is an abstract model for the cone of positive superharmonic functions on a harmonic space or for the cone of excessive functions with respect to a resolvent family, having sufficiently many properties in order to develop a good deal of balayage theory and also to construct a dual concept which is also an $H$ -cone. There are given an integral representation theorem and a representation theorem as an $H$ -cone of functions for which fine topology, thinnes, negligible sets and the sheaf property...

Harmonic and analytic functions admitting a distribution boundary value

Emil J. Straube (1984)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Harmonic Bergman spaces with small exponents in the unit ball.

Guangbin Ren (2002)

Collectanea Mathematica

Harmonic functions in a cylinder with normal derivatives vanishing on the boundary

Ikuko Miyamoto, Hidenobu Yoshida (2000)

Annales Polonici Mathematici

A harmonic function in a cylinder with the normal derivative vanishing on the boundary is expanded into an infinite sum of certain fundamental harmonic functions. The growth condition under which it is reduced to a finite sum of them is given.

Harmonic functions on classical rank one balls

Philippe Jaming (2001)

Bollettino dell'Unione Matematica Italiana

In questo articolo studieremo le relazioni fra le funzioni armoniche nella palla iperbolica (sia essa reale, complessa o quaternionica), le funzione armoniche euclidee in questa palla, e le funzione pluriarmoniche sotto certe condizioni di crescita. In particolare, estenderemo al caso quaternionico risultati anteriori dell'autore (nel caso reale), e di A. Bonami, J. Bruna e S. Grellier (nel caso complesso).

Displaying 1 – 8 of 8

$H$ -cones and potential theory

Harmonic and analytic functions admitting a distribution boundary value

Harmonic Bergman spaces with small exponents in the unit ball.

Harmonic functions in a cylinder with normal derivatives vanishing on the boundary

Harmonic functions on classical rank one balls

Harmonic majorization of $| x_{1} |$ in subsets of $ℝ^{n}$ , $n \geq 2$ .

Harnack Sets and Openness of Harmonie Morphisms.

Hp (Rn) is equidistributed with Lp (Rn).

Currently displaying 1 – 8 of 8