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Part of the book series: Advances in Complex Analysis and Its Applications ((ACAA,volume 2))

Abstract

For a non-normal function/the sequences of points {a n } and {b n } for which \( {\lim_{{n \to \infty }}}(1 - {\left| {{a_n}} \right|^2}){f^{\# }}({a_n}) = + \infty \) and \( {\lim_{{n \to \infty }}}\iint {_{\Delta }{{({f^{\# }}(z))}^2}{g^p}(z,{a_n})dA(z) = + \infty } \) are considered and compared with each other.

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References

  1. R. Aulaskari and P. Lappan, Criteria for an analytic function to be Bloch and a harmonic or meromorphic function to be normal, Complex analysis and its applications, Pitman Research Notes in Mathematics, 305, Longman Scientific & Technical Harlow, 1994, 136–146.

    Google Scholar 

  2. R. Aulaskari, H. Wulan and R. Zhao, Carleson measure and some classes of meromorphic functions, Proc. Amer. Math. Soc, Vol. 128, 2000, 2329–2335.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Aulaskari, J. Xiao and R. Zhao, On subspaces and subsets of BMOA and UBC, Analysis, Vol. 15, 1995, 101–121.

    MathSciNet  MATH  Google Scholar 

  4. D. Campbell and G. Wickes, Characterizations of normal meromorphic functions, Complex Analysis, Joensuu 1978, 55–72, Lecture Notes in Mathematics, 747, Springer-Verlag, Berlin.

    Google Scholar 

  5. A. Baernstein II, Analytic functions of bounded mean oscillation, Aspects of contemporary complex analysis, Academic Press, London, 1980, 3–36.

    Google Scholar 

  6. M. Essén, Q p -spaces, Lectures at the summer school on “Complex Function Spaces” at Mekrijärvi Aug.30 – Sept.l, 1999. To appear, Department of Mathematics, University of Joensuu, Finland.

    Google Scholar 

  7. J. L. Schiff, Normal families, Springer-Verlag, New York, 1993.

    MATH  Google Scholar 

  8. H. Wulan, On some classes of meromorphic functions, Ann. Acad. Sci. Fenn. Math. Diss., Vol. 116, 1998, 1–57.

    Google Scholar 

  9. S. Yamashita, Functions of uniformly bounded characteristic, Ann. Acad. Sci. Fenn. Ser. A I Math., Vol. 7, 1982, 349–367.

    MathSciNet  MATH  Google Scholar 

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© 2004 Kluwer Academic Publishers

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Aulaskari, R., Makhmutov, S., Wulan, H. (2004). On Q p Sequences. In: Le, H.S., Tutschke, W., Yang, C.C. (eds) Finite or Infinite Dimensional Complex Analysis and Applications. Advances in Complex Analysis and Its Applications, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0221-6_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0221-6_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7948-5

  • Online ISBN: 978-1-4613-0221-6

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