Invariant subspaces on open Riemann surfaces. II

Morisuke Hasumi

Displaying similar documents to “Invariant subspaces on open Riemann surfaces. II”

Invariant subspaces on open Riemann surfaces

Morisuke Hasumi (1974)

Annales de l'institut Fourier

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Let $R$ be a hyperbolic Riemann surface, $d_{χ}$ a harmonic measure supported on the Martin boundary of $R$ , and $H^{\infty} (d χ)$ the subalgebra of $L^{\infty} (d χ)$ consisting of the boundary values of bounded analytic functions on $R$ . This paper gives a complete classification of the closed $H^{\infty} (d χ)$ -submodules of $L^{p} (d χ)$ , $1 \leq p \leq \infty$ (weakly $^{*}$ closed, if $p = \infty$ , when $R$ is regular and admits a sufficiently large family of bounded multiplicative analytic functions satisfying an approximation condition. It also gives, as a corollary, a corresponding result...

Some remarks on the Nevanlinna theory of holomorphic mappings of Riemann surfaces

Alois Klíč (1980)

Časopis pro pěstování matematiky

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The higher topological form of Plateau's problem

Jesse Douglas (1939)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On exceptional values of holomorphic mappings of Riemann surfaces

Alois Klíč (1980)

Časopis pro pěstování matematiky

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Two remarks on Riemann surfaces.

José M. Rodriguez (1994)

Publicacions Matemàtiques

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We study the relationship between linear isoperimetric inequalities and the existence of non-constant positive harmonic functions on Riemann surfaces. We also study the relationship between growth conditions of length of spheres and the existence and the existence of Green's function on Riemann surfaces.