Skip to main content

A priori Abschätzungen für eine Klasse elliptischer Pseudo-Differentialoperatoren im Raum Lp(Rn)

Part of the Lecture Notes in Mathematics book series (LNM,volume 561)

Keywords

  • Pseudodifferential Operator
  • Dann Gilt
  • Multidimensional Singular Integral
  • Piecewise Continuous Symbol
  • Wenn Gilt

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   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
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.

Literatur

  1. Adams, R. A.: Sobolev spaces, New York: Academic Press 1975.

    MATH  Google Scholar 

  2. Agranovich, M. S.: Elliptic singular integro-differential operators. RMS 20, 1–121 (1969).

    Google Scholar 

  3. Atkinson, F. V.: The normal solubility of linear equations in normed spaces. Mat. Sbornik, N. S. 28, 3–14 (1951).

    MathSciNet  Google Scholar 

  4. Calderon, A. P. u. Zygmund, A.: On singular integrals. Amer. J. of Math. 78, 289–309 (1956).

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. —: Algebras of certain singular operators. Amer. J. of Math. 78, 310–320 (1956).

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Cordes, H. O.: The algebra of singular integral operators in Rn. J. of Math. Mech. 14, No. 6, 1007–1032 (1965).

    MathSciNet  MATH  Google Scholar 

  7. Cordes, H. O., Herman, E. A.: Gel'fand theory of pseudodifferential operators. Amer. J. of Math. 90, 681–717 (1968).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Donig, J.: Zur Theorie einer Klasse elliptischer singulärer Integro-Differentialoperatoren in Grund-und Distributionenräumen. Dissertation, Tübingen 1973.

    Google Scholar 

  9. Edwards, R. E.: Functional analysis. Chicago: Holt, Rinehart and Winston 1965.

    MATH  Google Scholar 

  10. Gruzin, V. V.: Pseudodifferential operators on Rn with bounded symbols. Funktsional'nyi Analiz i ego Prilozheniya 4, 37–50 (1970).

    CrossRef  Google Scholar 

  11. Hörmander, L.: Pseudodifferential operators. Moscow: Mir 1967.

    MATH  Google Scholar 

  12. Jörgens, K.: Lineare Integraloperatoren. Stuttgart: Teubner-Verlag 1970.

    CrossRef  MATH  Google Scholar 

  13. Kohn, J. J. und Nirenberg, L.: On the algebra of pseudodifferential operators. Comm. Pure and Appl. Math. 18, 269–305.

    Google Scholar 

  14. Mikhlin, S. G.: Multidimensional singular integrals and integral equations. Oxford: Pergamon Press 1965.

    MATH  Google Scholar 

  15. Neri, U.: Singular integrals. Berlin: Springer-Verlag 1971.

    CrossRef  MATH  Google Scholar 

  16. Palais, R. S.: Seminar on the Atiyah-Singer index theorem. Princeton: Princeton University Press 1965.

    CrossRef  MATH  Google Scholar 

  17. Prößdorf, S.: Einige Klassen singulärer Gleichungen. Basel: Birkhäuser Verlag 1974.

    CrossRef  MATH  Google Scholar 

  18. Seeley, R. T.: Integro-differential operators on vector bundles. I. Trans. Amer. Math. Soc. 117, 167–204 (1965).

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. Simonenko, I. B.: A new general method of investigating linear operator equations of the type of singular integral equations. Soviet Math. Dokl. 5, 1323–1326 (1964).

    MATH  Google Scholar 

  20. —: Singular integral equations with a continuous or piecewise continuous symbol. SMD 8, 1320–1323 (1967).

    Google Scholar 

  21. Speck, F.-O.: Über verallgemeinerte Faltungsoperatoren und eine Klasse von Integrodifferentialgleichungen. Dissertation, Darmstadt 1974.

    Google Scholar 

  22. Stein, E.: Singular integrals and differentiability properties of functions. Princeton: Princeton University Press 1970.

    MATH  Google Scholar 

  23. Stummel, F.: Rand-und Eigenwertaufgaben in Sobolewschen Räumen. Berlin: Springer-Verlag 1969.

    CrossRef  MATH  Google Scholar 

  24. Triebel, H.: Höhere Analysis. Berlin: VEB Deutscher Verlag d. Wissenschaften 1972.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Donig, J. (1976). A priori Abschätzungen für eine Klasse elliptischer Pseudo-Differentialoperatoren im Raum Lp(Rn). In: Meister, V.E., Wendland, W.L., Weck, N. (eds) Function Theoretic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087635

Download citation

  • DOI: https://doi.org/10.1007/BFb0087635

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08054-1

  • Online ISBN: 978-3-540-37536-4

  • eBook Packages: Springer Book Archive