Invariant subspaces on open Riemann surfaces. II

Morisuke Hasumi

Annales de l'institut Fourier (1976)

  • Volume: 26, Issue: 2, page 273-299
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Hasumi, Morisuke. "Invariant subspaces on open Riemann surfaces. II." Annales de l'institut Fourier 26.2 (1976): 273-299. <http://eudml.org/doc/74282>.

@article{Hasumi1976,
abstract = {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.},
author = {Hasumi, Morisuke},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {2},
pages = {273-299},
publisher = {Association des Annales de l'Institut Fourier},
title = {Invariant subspaces on open Riemann surfaces. II},
url = {http://eudml.org/doc/74282},
volume = {26},
year = {1976},
}

TY - JOUR
AU - Hasumi, Morisuke
TI - Invariant subspaces on open Riemann surfaces. II
JO - Annales de l'institut Fourier
PY - 1976
PB - Association des Annales de l'Institut Fourier
VL - 26
IS - 2
SP - 273
EP - 299
AB - 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.
LA - eng
UR - http://eudml.org/doc/74282
ER -

References

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  1. [1] M. BRELOT and G. CHOQUET, Espaces et lignes de Green, Ann. Inst. Fourier (Grenoble), 3 (1952), 199-264. Zbl0046.32701MR16,34e
  2. [2] C. CONSTANTINESCU and A. CORNEA, Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer, Berlin, 32 (1963). Zbl0112.30801MR28 #3151
  3. [3] G. M. GOLUSIN, Geometrische Funktionentheorie, Hochschulbücher für Mathematik, Bd. 31. Deutscher Verlag der Wissenschaften, Berlin, (1957). Zbl0083.06604MR19,735e
  4. [4] M. HASUMI, Invariant subspaces on open Riemann surfaces, Ann. Inst. Fourier (Grenoble), 24, Fasc. 4 (1974), 241-286. Zbl0287.46066MR51 #901
  5. [5] W. A. J. LUXEMBURG and A. C. ZAANEN, Riesz Spaces, North-Holland, Amsterdam, Vol. I, (1971). Zbl0231.46014MR58 #23483
  6. [6] L. NAÏM, Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel, Ann. Inst. Fourier (Grenoble), 7 (1957), 183-281. Zbl0086.30603MR20 #6608
  7. [7] C. NEVILLE, Invariant subspaces of Hardy classes on infinitely connected open surfaces, Mem. Amer. Math. Soc., No. 160 (1975). Zbl0314.46052MR58 #28516
  8. [8] I. I. PRIVALOV, Randeigenschaften analytischen Funktionen, Hochschulbücher für Mathematik, Bd. 25, Deutscher Verlag der Wissenschaften, Berlin, 1956. Zbl0073.06501
  9. [9] W. RUDIN, Analytic functions of class Hp, Trans. Amer. Math. Soc., 78 (1955), 46-66. Zbl0064.31203MR16,810b
  10. [10] L. SARIO and M. NAKAI, Classification theory of Riemann surfaces, Die Grundlehren der mathematischen Wissenschaften, Springer, Berlin, 164 (1970). Zbl0199.40603MR41 #8660
  11. [11] H. WIDOM, H p sections of vector bundles over Riemann surfaces, Ann. of Math., 94 (1971), 304-324. Zbl0238.32014MR44 #5976

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