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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Teichmüller-type annihilators of $ L\sp 1$-analytic functions


Authors: Edgar Reich and Harold S. Shapiro
Journal: Proc. Amer. Math. Soc. 109 (1990), 1011-1017
MSC: Primary 30C60; Secondary 30C75
MathSciNet review: 1012938
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Abstract | References | Similar Articles | Additional Information

Abstract: Characterizations are obtained for some classes of Teichmüller-type $ {L^\infty }$ functions that are orthogonal to all polynomials in the unit disk.


References [Enhancements On Off] (What's this?)

  • [1] Lars V. Ahlfors, Some remarks on Teichmüller's space of Riemann surfaces, Ann. of Math. 74 (1961), 171-191. MR 0204641 (34:4480)
  • [2] Marvin Ortel, Extremal quasiconformal mappings with angular complex dilatation, Indiana Univ. Math. J. 31 (1982), 435-447. MR 652827 (83f:30019)
  • [3] Edgar Reich and Kurt Strebel, On quasiconformal mappings which keep the boundary fixed, Trans. Amer. Math. Soc. 138 (1969), 211-222. MR 0237778 (38:6059)
  • [4] I. N. Vekua, Generalized analytic functions, Pergamon Press, Oxford, 1962. MR 0150320 (27:321)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1012938-9
PII: S 0002-9939(1990)1012938-9
Keywords: Annihilators, shift theorem, Verschiebungssatz
Article copyright: © Copyright 1990 American Mathematical Society