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On range sets of bounded analytic functions

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References

  1. O. Frostman,Potentiel d'equilibre et capacité des ensembles avec quelques applications à la théorie des fonctions, Medd. Lunds Math. Sem.3 (1935), 1–118.

    Google Scholar 

  2. T. W. Gamelin,Cluster values of bounded analytic functions, Trans. Amer. Math. Soc.225 (1977), 295–306.

    Article  MATH  MathSciNet  Google Scholar 

  3. J. B. Garnett,Bounded Analytic Functions, Academic Press, New York, 1980.

    Google Scholar 

  4. P. M. Gauthier and W. Hengartner,Local harmonic majorants of functions subharmonic in the unit disc, J. Analyse Math.26 (1973), 405–412.

    MATH  MathSciNet  Google Scholar 

  5. E. Hille,Analytic Function Theory, Vol. II, Chelsea, New York, 1962.

    MATH  Google Scholar 

  6. S. Kobayashi,On local harmonic majorants of subharmonic functions, J. Analyse Math.31 (1977), 287–292.

    Article  MATH  MathSciNet  Google Scholar 

  7. S. Kobayashi,Image areas and BMOnorms of analytic functions. Kodai Math. J.8 (1985), 163–170.

    Article  MATH  MathSciNet  Google Scholar 

  8. S. Kobayashi and N. Suita,On subordination of subharmonic functions, Kodai Math. J.3 (1980), 315–320.

    Article  MATH  MathSciNet  Google Scholar 

  9. W. Rudin,Analytic functions of class H p, Trans. Amer. Math. Soc.78 (1955), 46–66.

    Article  MATH  MathSciNet  Google Scholar 

  10. W. Rudin,Some theorems on bounded analytic functions, Trans. Amer. Math. Soc.78 (1955), 333–342.

    Article  MATH  MathSciNet  Google Scholar 

  11. M. Tsuji,Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959.

    MATH  Google Scholar 

  12. M. L. Weiss,Cluster sets of bounded analytic functions from a Banach algebraic viewpoint, Ann. Acad. Fenn. Ser.AI 367 (1965), 1–14.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Technological University of Nagaoka, Nagaoka, Japan

    Shöji Kobayashi

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  1. Shöji Kobayashi
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Kobayashi, S. On range sets of bounded analytic functions. J. Anal. Math. 49, 203–211 (1987). https://doi.org/10.1007/BF02792896

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  • DOI: https://doi.org/10.1007/BF02792896

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