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Harmonic majorization, harmonic measure and minimal thinness

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Complex Analysis I

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

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References

  1. M. Arsove and A. Huber, Local behaviour of subharmonic functions. Indiana Univ. Math. J. 22 (1973), 1191–1199.

    Article  MathSciNet  MATH  Google Scholar 

  2. T. Brawn, The Green and Poisson kernels for the strip R n×]0,1[. J. London Math. Soc. (2) 2 (1970), 439–454.

    MathSciNet  MATH  Google Scholar 

  3. T. Brawn Mean value and Phragmén-Lindelöf theorems for subharmonic functions in strips. J. London Math. Soc. (2) 3 (1971), 689–698.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Brelot, On topologies and boundaries in potential theory. Springer Lecture Notes in Mathematics 175 (1971).

    Google Scholar 

  5. M. Essén and K. Haliste, A problem of Burkholder and the existence of harmonic majorants of |x|p in certain domains in R d. Ann. Acad. Scient. Fenn. Series A.I. Mathematics, 9 (1984), 107–116.

    Article  MATH  Google Scholar 

  6. M. Essén, K. Haliste, J.L. Lewis and D.F. Shea, Harmonic majorization and classical analysis. To appear. J. London Math. Soc.

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

    Google Scholar 

  8. L.L. Helms, Introduction to potential theory. Wiley-Interscience (1969).

    Google Scholar 

  9. J.-M. G. Wu, Minimum growth of harmonic functions and thinness of a set, Math.Proc.Cambridge Philos.Soc. 95(1984), 123–133.

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Authors and Affiliations

  1. Department of Mathematics, University of Uppsala, Thunbergsvägen 3, S-752 38, Uppsala, Sweden

    Matts Essén

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  1. Matts Essén
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Carlos A. Berenstein

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Dedicated to Maurice Heins on his 70th Birthday

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© 1987 Springer-Verlag

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Essén, M. (1987). Harmonic majorization, harmonic measure and minimal thinness. In: Berenstein, C.A. (eds) Complex Analysis I. Lecture Notes in Mathematics, vol 1275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078346

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  • DOI: https://doi.org/10.1007/BFb0078346

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18356-3

  • Online ISBN: 978-3-540-47899-7

  • eBook Packages: Springer Book Archive

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