We considerably improve our earlier results [Ann. Inst. Fourier, 24-4 (1974] concerning Cauchy-Read’s theorems, convergence of Green lines, and the structure of invariant subspaces for a class of hyperbolic Riemann surfaces.
Nous améliorons considérablement nos résultats précédents [Ann. Inst. Fourier, 24-4 (1974)], concernant les théorèmes de Cauchy-Read, convergence des lignes de Green, et la structure des sous-espaces invariants pour une classe de surfaces de Riemann hyperboliques.
@article{AIF_1976__26_2_273_0,
author = {Hasumi, Morisuke},
title = {Invariant subspaces on open {Riemann} surfaces. {II}},
journal = {Annales de l'Institut Fourier},
pages = {273--299},
year = {1976},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {26},
number = {2},
doi = {10.5802/aif.623},
zbl = {0322.46058},
mrnumber = {53 #11062},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.623/}
}
TY - JOUR AU - Hasumi, Morisuke TI - Invariant subspaces on open Riemann surfaces. II JO - Annales de l'Institut Fourier PY - 1976 SP - 273 EP - 299 VL - 26 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.623/ DO - 10.5802/aif.623 LA - en ID - AIF_1976__26_2_273_0 ER -
Hasumi, Morisuke. Invariant subspaces on open Riemann surfaces. II. Annales de l'Institut Fourier, Tome 26 (1976) no. 2, pp. 273-299. doi: 10.5802/aif.623
[1] and , Espaces et lignes de Green, Ann. Inst. Fourier (Grenoble), 3 (1952), 199-264. | Zbl | MR | Numdam
[2] and , Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer, Berlin, 32 (1963). | Zbl | MR
[3] , Geometrische Funktionentheorie, Hochschulbücher für Mathematik, Bd. 31. Deutscher Verlag der Wissenschaften, Berlin, (1957). | Zbl | MR
[4] , Invariant subspaces on open Riemann surfaces, Ann. Inst. Fourier (Grenoble), 24, Fasc. 4 (1974), 241-286. | Zbl | MR | Numdam
[5] and , Riesz Spaces, North-Holland, Amsterdam, Vol. I, (1971). | Zbl | MR
[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 | MR | Numdam
[7] , Invariant subspaces of Hardy classes on infinitely connected open surfaces, Mem. Amer. Math. Soc., No. 160 (1975). | Zbl | MR
[8] , Randeigenschaften analytischen Funktionen, Hochschulbücher für Mathematik, Bd. 25, Deutscher Verlag der Wissenschaften, Berlin, 1956. | Zbl
[9] , Analytic functions of class Hp, Trans. Amer. Math. Soc., 78 (1955), 46-66. | Zbl | MR
[10] and , Classification theory of Riemann surfaces, Die Grundlehren der mathematischen Wissenschaften, Springer, Berlin, 164 (1970). | Zbl | MR
[11] , H p sections of vector bundles over Riemann surfaces, Ann. of Math., 94 (1971), 304-324. | Zbl | MR
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