Invariant subspaces on open Riemann surfaces. II

DOI10.5802/AIF.623zbMath0322.46058OpenAlexW2326714626MaRDI QIDQ1223811

Morisuke Hasumi

Publication date: 1976

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1976__26_2_273_0

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Subalgebras of commutative topological algebras (46J30) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (7)

A theorem of Picard type ⋮ Bounded Sections on a Riemann Surface ⋮ Riemann Surfaces and Bounded Holomorphic Functions ⋮ de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem ⋮ Asymptotic value sets of bounded holomorphic functions along Green lines ⋮ Invariant Subspaces on Riemann Surfaces of Parreau-Widom Type ⋮ Invariant subspaces in the theory of operators and theory of functions

Cites Work

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• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• Invariant subspaces on open Riemann surfaces
• \({\mathcal H}^p\) sections of vector bundles over Riemann surfaces
• Espaces et lignes de Green
• Invariant subspaces of Hardy classes on infinitely connected open surfaces
• Analytic Functions of Class H p

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