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Value distribution of functions regular in the unit disk

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 981))

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References

  1. Anderson, J. M.: Four lectures on analytic functions with bounded mean oscillation and four lectures on the Müntz-Szasz Theorem. Lectures at the University of Virginia, July 5–27 (1978).

    Google Scholar 

  2. Baernstein, A.: Analytic functions of bounded mean oscillation, in "Aspects of contemporary complex analysis". Academic Press, London-New York (1980), 209–223.

    Google Scholar 

  3. Carathéodory, C.: Conformal representation. 2nd edition. Cambridge University Press, Cambridge (1963).

    MATH  Google Scholar 

  4. Collingwood, E. F., Lohwater, A. J.: The theory of cluster sets. Cambridge University Press, Cambridge (1966).

    Book  MATH  Google Scholar 

  5. Hardy, G. H., Littlewood, J. E.: A maximal theorem with function theoretic applications. Acta Math. 54 (1930), 81–116.

    Article  MathSciNet  MATH  Google Scholar 

  6. Hayman, W. K.: Meromorphic Functions. Oxford University Press, Oxford (1964).

    MATH  Google Scholar 

  7. Hayman, W. K., Kennedy, P. B.: Subharmonic functions I. Academic Press, London (1976).

    MATH  Google Scholar 

  8. Hayman, W. K., Pommerenke, Ch.: On analytic functions of bounded mean oscillation. Bull. Lond. Math. Soc. 10 (1978), 219–224.

    Article  MathSciNet  MATH  Google Scholar 

  9. Metzger, T. A.: On B.M.O.A. for Riemann Surfaces. Canad. J. Math. 33 (1981), 1255–1260.

    Article  MathSciNet  MATH  Google Scholar 

  10. Nevanlinna, R.: Eindeutige analytische Funktionen. Springer-Verlag, Berlin (1936).

    Book  MATH  Google Scholar 

  11. Petersen, K. E.: Brownian Motion, Hardy spaces and bounded mean oscillation. L. M. S. Lecture Note series, No. 28, Cambridge University Press, Cambridge (1977).

    Book  MATH  Google Scholar 

  12. Sarason, D. E.: Function theory on the unit circle. Lectures given at Virginia Polytechnic Institute, June 19–23 (1978).

    Google Scholar 

  13. Stegenga, D.: A geometric condition which implies B.M.O.A., in "Harmonic analysis in Euclidean spaces. Part 1". American Mathematical Society, Providence, R.I. (1979), 427–430.

    Chapter  Google Scholar 

  14. Stegenga, D., Stephenson, K.: A geometric characterisation of analytic functions with B.M.O. J. London Math. Soc. (2) 24 (1981), 243–254.

    Article  MathSciNet  MATH  Google Scholar 

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Ilpo Laine Seppo Rickman

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© 1983 Springer-Verlag

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Hayman, W.K. (1983). Value distribution of functions regular in the unit disk. In: Laine, I., Rickman, S. (eds) Value Distribution Theory. Lecture Notes in Mathematics, vol 981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066382

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  • DOI: https://doi.org/10.1007/BFb0066382

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12003-2

  • Online ISBN: 978-3-540-39480-8

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