Skip to main content

Harmonic majorization, harmonic measure and minimal thinness

Special Year Papers

  • 551 Accesses

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

Keywords

  • Harmonic Function
  • Maximum Principle
  • Harmonic Measure
  • Subharmonic Function
  • Doubling Condition

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    CrossRef  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.

    CrossRef  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.

    CrossRef  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.

    Google Scholar 

  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Additional information

Dedicated to Maurice Heins on his 70th Birthday

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18356-3

  • Online ISBN: 978-3-540-47899-7

  • eBook Packages: Springer Book Archive