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Inequalities associating hypergeometric functions with planar harmonic mappings.

Ahuja, Om P., Silverman, H. (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Integral representation for a class of multiply superharmonic functions

Kohur Gowrisankaran (1973)

Annales de l'institut Fourier

Let $Ω_{1}, ..., Ω_{n}$ be harmonic spaces of Brelot with countable base of completely determining domains. The elements of a subcone $C$ of the cone of positive $n$ -superharmonic functions in $Ω_{1} \times ... \times Ω_{n}$ is shown to have an integral representation with the aid of Radon measures on the extreme elements belonging to a compact base of $C$ . The extreme elements are shown to be the product of extreme superharmonic functions on the component spaces and the measure representing each element is shown to be unique. Necessary and sufficient...

Interpolation entre espaces d'Orlicz

Paul-André Meyer (1982)

Séminaire de probabilités de Strasbourg

Inverse mean value property of harmonic functions.

W. Hansen, I. Netuka (1993)

Mathematische Annalen

Inverse mean value property of harmonic functions (Corrigendum).

W. Hansen, I. Netuka (1995)

Mathematische Annalen

Invertible harmonic mappings beyond the Kneser theorem and quasiconformal harmonic mappings

David Kalaj (2011)

Studia Mathematica

We extend the Rado-Choquet-Kneser theorem to mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary without restriction on the convexity of image domain. The proof is based on a recent extension of the Rado-Choquet-Kneser theorem by Alessandrini and Nesi and it uses an approximation scheme. Some applications to families of quasiconformal harmonic mappings between Jordan domains are given.