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Local and global majorization of subharmonic functions

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References

  1. D. H. Armitage,A strong type of regularity for the PWB solution of the Dirichlet problem, Proc. Am. Math. Soc.61 (1976), 285–289.

    Article  MathSciNet  Google Scholar 

  2. M. Brelot,éléments de la Théorie Classique du Potentiel, 3e edition, Centre de Documentation Universitaire, Paris, 1965.

    Google Scholar 

  3. S. J. Gardiner,Harmonic majorization of subharmonic functions in unbounded domains, Ann. Acad. Sci. Fenn. Ser. AI Math., to appear.

  4. P. M. Gauthier and M. Goldstein,From local to global properties of subharmonic functions on Green spaces, J. London Math. Soc. (2)16 (1977), 458–466.

    Article  MATH  MathSciNet  Google Scholar 

  5. 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 

  6. L. L. Helms,Introduction to Potential Theory, Wiley-Interscience, New York, 1969.

    MATH  Google Scholar 

  7. H. Hueber,über die Existenz harmonischer Minoranten von superharmonischen Funktionen, Math. Ann.225 (1977), 99–114.

    Article  MATH  MathSciNet  Google Scholar 

  8. R. A. Hunt and R. L. Wheeden,On the boundary values of harmonic functions, Trans. Am. Math. Soc.132 (1968), 307–322.

    Article  MATH  MathSciNet  Google Scholar 

  9. R. A. Hunt and R. L. Wheeden,Positive harmonic functions on Lipschitz domains, Trans. Am. Math. Soc.147 (1970), 507–527.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  11. P. J. Kostense,On the behaviour of minimal positive harmonic functions at the boundary of their domain, Nederl. Akad. Wetensch. Proc. Ser. A80 ≡ Indag. Math.39 (1977), 23–28.

    MathSciNet  Google Scholar 

  12. ü. Kuran,On half-spherical means of subharmonic functions in half-spaces, J. London Math. Soc. (2)2 (1970), 305–317.

    Article  MATH  MathSciNet  Google Scholar 

  13. M. Parreau,Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann, Ann. Inst. Fourier (Grenoble)3 (1951), 103–197.

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Pure Mathematics, The Queen’s University of Belfast, BT7 INN, Belfast, N. Ireland

    S. J. Gardiner (Biometrics Division)

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  1. S. J. Gardiner
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This work was supported by a grant from the Department of Education for Northern Ireland.

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Gardiner, S.J. Local and global majorization of subharmonic functions. J. Anal. Math. 42, 175–184 (1982). https://doi.org/10.1007/BF02786877

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