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Cauchy Transforms of measures and univalent functions

Special Year Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 1275)

Keywords

  • Univalent Function
  • Toeplitz Operator
  • Blaschke Product
  • Carleson Measure
  • Hankel Operator

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References

  1. A.B. Aleksandrov, A-integrability of the boundary values of harmonic functions, Matematicheskie Zametki 31 (1981), 59–72.

    MathSciNet  MATH  Google Scholar 

  2. A.B. Aleksandrov, Essays on non locally convex Hardy classes, Lecture Notes in Mathematics 864, Springer-Verlag, Berlin (1981), 1–89.

    MATH  Google Scholar 

  3. A.B. Aleksandrov, Invariant subspaces of the shift operator. Axcomatic approach, J. Soviet Math. 22 (1983), 1695–1708.

    CrossRef  MATH  Google Scholar 

  4. P. Bourdon and J.A. Cima, On integrals of Cauchy-Stieltjes type (manuscript).

    Google Scholar 

  5. P.L. Duren, Theory of Hp Spaces, Academic Press, New York, 1970.

    MATH  Google Scholar 

  6. P.L. Duren, Univalent Functions, Springer-Verlag, New York, 1983.

    MATH  Google Scholar 

  7. J. B. Garnett, Bounded Analytic Functions. Academic Press, New York, 1981.

    MATH  Google Scholar 

  8. M.G. Goluzina, On multiplication and division of integrals of Cauchy-Stieltjes type, Vestnik Levingrad Univ. Math. 14 (1982). (Amer. Math Soc. Translations 1983).

    Google Scholar 

  9. D.J. Hallenbeck and T.H. MacGregor, Linear Problems and Convexity Techniques in Geometric Function Theory, Pitman, Boston, 1984.

    MATH  Google Scholar 

  10. V.P. Havin, On analytic functions representable by an integral of Cauchy-Stieltjes type, Vestnik Leningrad Univ. Sec. Math. Meh. Astr. 13 (1958), 66–79 (Russian).

    MathSciNet  Google Scholar 

  11. S.V. Hruščev and S.A. Vinogradov, Inner functions and multipliers of Cauchy type integrals, Arkiv Mat. 19 (1981), 23–42.

    CrossRef  MathSciNet  Google Scholar 

  12. T.H. MacGregor, Analytic and univalent functions with integral representations involving complex measures, Indiana Univ. Math. J. (to appear).

    Google Scholar 

  13. I.I. Privalov, Randeigenschaften Analytisher Funktionen, VEB Deutscher Verlag der Wissenschaften, Berlin, 1956.

    Google Scholar 

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© 1987 Springer-Verlag

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Cima, J.A., MacGregor, T.H. (1987). Cauchy Transforms of measures and univalent functions. In: Berenstein, C.A. (eds) Complex Analysis I. Lecture Notes in Mathematics, vol 1275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078345

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  • DOI: https://doi.org/10.1007/BFb0078345

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18356-3

  • Online ISBN: 978-3-540-47899-7

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