A problem of Axler and Shields on nontangential limits and maximal ideal space of some pseudonanalytic algebras

  • Oleg V. Ivanov
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1550)


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  1. [1]
    Axler A., Shields A., Extensions of harmonic and analytic functions, Pacif. J. Math. 145 no. 1 (1990), pp. 1–15.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    Ivanov O.V., Fatou theorem on nontangential limits and questions of extension on the ideal boundary, Zap. LOMI 190 no. 19 (1991), pp. 101–109.zbMATHGoogle Scholar
  3. [3]
    Hoffman K., Bounded analytical functions and Gleason parts, Ann. Math. 86, 1967 no. 1, pp. 74–111.CrossRefzbMATHGoogle Scholar
  4. [4]
    Sundberg C., Truncations of BMO functions, Indiana Univ. Math. J. 33 (1984), pp. 749–771.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    Brown L., Gauthier P. M., Behavior of normal meromorphic functions on the maximal ideal space of H , Mich. Math. J. 18 (1971), pp. 365–371.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    Gamelin T.W., Lecture on H Open image in new window, Universidad national de la Plata (1972), pp. 1–99.Google Scholar
  7. [7]
    Ivanov O.V., Generalize analytic functions and a Two-Leaf Corona theorem, Dokl. Akad. Nauk Ukrain. SSR ser.A no. 4 (1989), pp. 10–11.Google Scholar
  8. [8]
    Ivanov O.V., Generalized analytic functions and analytic subalgebras, Ukrain. Math. J. 42 no. 5 (1990), pp. 616–620.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    Ivanov O.V., Generalize Douglas algebras and Corona theorem, Subirean Math. J. 32 no. 1 (1991), pp. 37–42.Google Scholar
  10. [10]
    Ivanov O.V., Nontangential limits and Shilov boundary of algebra H , Dokl. Akad. Nauk. Ukrain. SSR ser.A no. 7 (1991).Google Scholar

Copyright information

© The Euler International Mathematical Institute 1993

Authors and Affiliations

  • Oleg V. Ivanov
    • 1
  1. 1.Inst. of Applied Math. and Mech.Ukrainian Academy of Sc.DonetskUkraine

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