Skip to main content

The T1 theorem for Triebel-Lizorkin spaces

45-Minute Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1384)

Keywords

  • Hardy Space
  • Besov Space
  • Continuous Linear Operator
  • Dyadic Cube
  • Linear Partial Differential Operator

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
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.

Bibliography

  1. Coifman, R., R., and Meyer, Y., Au Delá des Opératuers Pseudo-Différentiels, Vol. 57, Astérisque (1982), pp. 1–199.

    Google Scholar 

  2. Coifman, R., R. and Weiss, Guido, Extensions of Hardy Spaces and Their Use in Analysis, Bull. Amer. Math. Soc., Vol. 83 (1977), pp. 569–645.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. David, G. and Journé, J.-L., A Boundedness Criterion for Generalized Calderón-Zygmund Operators, Ann. of Math., Vol. 120 (1984), pp. 371–397.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Frazier, M. and Jawerth, B., Decomposition of Besov Spaces, Ind. Univ. Math. J., Vol. 34 (1985), pp. 777–799.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Frazier, M. and Jawerth, B., A Discrete transform and Decompositions of Distribution Spaces, Preprint.

    Google Scholar 

  6. Hörmander, L., The Analysis of Linear Partial Differential Operators, I. Distribution Theory, Grunl. d. Math. Wiss., 256, Springer Verlag (1983).

    Google Scholar 

  7. Lemarié, P. G., Continuité sur les Espaces de Besov des Operateurs Definis par des integrales Singuliers, Ann. Inst. Fourier, Grenoble, T 35, Fasc 4 (1985), pp. 175–187.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Meyer, M., Continuité Besov de Certains Opérateurs Integraux Singuliers, These de 3e Cycle, Orsay 1985.

    Google Scholar 

  9. Meyer, Y., Les Nouveaux Opérateurs de Calderón-Zygmund, Colloque en l’Honneur de L. Schwartz, I, Vol. 131, Astèrisque (1985), pp. 237–254.

    MATH  Google Scholar 

  10. Peetre, J., New Thoughts on Besov Spaces, Duke Univ. Math. Series I, Dept. of Math., Duke University.

    Google Scholar 

  11. Taibleson, M. and Weiss, Guido, The Molecular Characterization of Certain Hardy Spaces, 77, Astérisque (1980), pp. 67–149.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Frazier, M., Han, YS., Jawerth, B., Weiss, G. (1989). The T1 theorem for Triebel-Lizorkin spaces. In: García-Cuerva, J. (eds) Harmonic Analysis and Partial Differential Equations. Lecture Notes in Mathematics, vol 1384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086801

Download citation

  • DOI: https://doi.org/10.1007/BFb0086801

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51460-2

  • Online ISBN: 978-3-540-48134-8

  • eBook Packages: Springer Book Archive