Hasumi, Morisuke Invariant subspaces on open Riemann surfaces. II. (English) Zbl 0322.46058 Ann. Inst. Fourier 26, No. 2, 273-299 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 Documents MSC: 46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces 46J30 Subalgebras of commutative topological algebras 31A15 Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions 47A15 Invariant subspaces of linear operators 30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane 31A20 Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions 30D55 \(H^p\)-classes (MSC2000) PDFBibTeX XMLCite \textit{M. Hasumi}, Ann. Inst. Fourier 26, No. 2, 273--299 (1976; Zbl 0322.46058) Full Text: DOI Numdam EuDML References: [1] [1] and , Espaces et lignes de Green, Ann. Inst. Fourier (Grenoble), 3 (1952), 199-264. · Zbl 0046.32701 [2] [2] and , Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer, Berlin, 32 (1963). · Zbl 0112.30801 [3] [3] , Geometrische Funktionentheorie, Hochschulbücher für Mathematik, Bd. 31. Deutscher Verlag der Wissenschaften, Berlin, (1957). · Zbl 0083.06604 [4] [4] , Invariant subspaces on open Riemann surfaces, Ann. Inst. Fourier (Grenoble), 24, Fasc. 4 (1974), 241-286. · Zbl 0287.46066 [5] [5] and , Riesz Spaces, North-Holland, Amsterdam, Vol. I, (1971). · Zbl 0231.46014 [6] [6] , Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel, Ann. Inst. Fourier (Grenoble), 7 (1957), 183-281. · Zbl 0086.30603 [7] [7] , Invariant subspaces of Hardy classes on infinitely connected open surfaces, Mem. Amer. Math. Soc., No. 160 (1975). · Zbl 0314.46052 [8] [8] , Randeigenschaften analytischen Funktionen, Hochschulbücher für Mathematik, Bd. 25, Deutscher Verlag der Wissenschaften, Berlin, 1956. · Zbl 0073.06501 [9] [9] , Analytic functions of class Hp, Trans. Amer. Math. Soc., 78 (1955), 46-66. · Zbl 0064.31203 [10] [10] and , Classification theory of Riemann surfaces, Die Grundlehren der mathematischen Wissenschaften, Springer, Berlin, 164 (1970). · Zbl 0199.40603 [11] [11] , H p sections of vector bundles over Riemann surfaces, Ann. of Math., 94 (1971), 304-324. · Zbl 0238.32014 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.