Skip to main content
SpringerLink
Log in
Book cover

Analytic Functions Błażejewko 1982 pp 32–83Cite as

About the equality between the p-module and the p-capacity in Rn

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1039))

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (USA)
  • 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. ACEBBE, B.B.: Об одном свойстве модуля, Докл. Акад. Наук СССР 200 (1971), 513–514.

    Google Scholar 

  2. BAGBY, T.: Ph.D. thesis, Harvard Univ., Cambridge, Massachusets 1966.

    Google Scholar 

  3. BARBU, V. and T. PRECUPANU: Convexity and optimization in Banach spaces, Edit. Acad. Bucereşti România and Sijthoff & Noordhoff, International Publishers 1978, 316 pp.

    Google Scholar 

  4. CARAMAN, P.: Quasiconformality and extremal length, Proc. 1st Romanian-Finnish Seminar on Teichmüller spaces and quasiconformal mappings, Braşow 1969, Edit. Acad. Bucureşti România 1971, pp. 111–145.

    Google Scholar 

  5. —: n-dimensional quasiconformal mappings, Edit. Acad. Bucureşti România and Abacus Press, Tunbridge Wells, Kent, England 1974, 553 pp.

    MATH  Google Scholar 

  6. —: Quasiconformality and boundary correspondence, Rev. Anal. Numer. Théorie Approximation 5(1976), 117–126 pp.

    Google Scholar 

  7. —: p-capacity and p-modulus, Symposia Math. 18(1976), 455–484 pp.

    Google Scholar 

  8. —: Estimate of an exceptional set for quasiconformal mappings in Rn, Komplexe Analysis und ihre Anwendung auf partielle Differentialgleichungen, Teil 3, Martin Luther Univ. Halle-Wittenberg Wissenschaftliche Beiträge 1980/41 (M18), Halle (Saale) 1980, pp. 210–221.

    Google Scholar 

  9. —: Le p-module et la p-capacité du cylindre, C. R. Acad. Sci. Paris 290(1980), 171–219.

    MathSciNet  Google Scholar 

  10. FUGLEDE, B.: Extremal length and functional completion, Acta Math. 9(1957), 171–219.

    Article  MathSciNet  Google Scholar 

  11. GEHRING, F.: Rings and quasiconformal mappings in space, Trans. Amer. Math. Soc. 103(1962), 353–393.

    Article  MathSciNet  MATH  Google Scholar 

  12. —: Extremal length definition for conformal capacity in space, Michigan Math. J. 9 (1962), 137–150.

    Article  MathSciNet  MATH  Google Scholar 

  13. — and J. VÄISÄLÄ: The coefficient of quasiconformality of domains in space, Acta Math. 114(1965), 1–70.

    Article  MathSciNet  MATH  Google Scholar 

  14. HERSCH, J.: Longueurs extremales dans l'espace, résistence électrique et capacité, C. R. Acad. Sci. Paris 238(1954), 1693–1641.

    MathSciNet  Google Scholar 

  15. HESSE, J.: Modulus and capacity, Ph. D. thesis, Univ. of Michigan, Ann Arbor, Michigan 1972, 117 pp.

    Google Scholar 

  16. —: A p-extremal length and a p-capacity equality, Ark. Mat. 13(1975), 131–144.

    Article  MathSciNet  MATH  Google Scholar 

  17. КРИВОВ, В.В.: Некоторые свойства модулей в пространстве, Докл. Акад. Наук СССР 154 (1964), 510–515.

    Google Scholar 

  18. NÄKKI, R.: Boundary behavior of quasiconformal mappings in n-space, Ann. Acad. Sci. Fenn. Ser. A I Math. 484(1970), 50 pp.

    Google Scholar 

  19. RADO, T. and P.V. REICHELDERFER: Continuous transformations in analysis, Springer, Berlin-Heidelberg-New York 1955, 442 pp.

    Book  MATH  Google Scholar 

  20. REIMANN, H.M.: Über harmonische Kapazität und quasikonforme Abbildungen im Raum, Comment, Math. Helv. 44(1969), 284–304.

    MathSciNet  MATH  Google Scholar 

  21. SAKS, S.: Theory of the integral, Second revised edition with two Notes by Prof.Stefan Banach. Hafner Publishing Company, New York 1955, 347 pp.

    Google Scholar 

  22. СЫЧЭВ А.В.: О некоторых свойствах модулеЧi, Сибирский Мат. ж. 6 (1965), 1108–1119.

    Google Scholar 

  23. VÄISÄLÄ, J.: On quasiconformal mappings in space, Ann. Acad. Sci. Fenn. Ser. A I Math. 298 (1961), 36 pp.

    Google Scholar 

  24. ZIEMER, W.: Extremal length and conformal capacity, Trans. Amer. Math. Soc. 126 (1967), 460–473.

    Article  MathSciNet  MATH  Google Scholar 

  25. —: Extremal length and p-capacity, Michigan Math. J. 16 (1969), 43–51.

    Article  MathSciNet  MATH  Google Scholar 

  26. —: Extremal length as a capacity, Michigan Math. J. 17 (1970), 117–123.

    Article  MathSciNet  MATH  Google Scholar 

  27. ЖОРИЧ, В.А.: Об угловых граничных эначениях кваэиконформных отображений щара, Докл. Акад. Наук СССР 177 (1967), 771–775.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, University "Al.I.Cuza", Iaşi, România

    Petru Caraman

Authors
  1. Petru Caraman
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136, Łódź, Poland

    Julian Ławrynowicz

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Caraman, P. (1983). About the equality between the p-module and the p-capacity in Rn . In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073357

Download citation

  • DOI: https://doi.org/10.1007/BFb0073357

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12712-3

  • Online ISBN: 978-3-540-38697-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation