Skip to main content
SpringerLink
Log in

Regularity Properties of Admissible Operators

  • Chapter
The Cauchy-Riemann Complex

Part of the book series: Aspects of Mathematics ((ASMA,volume 34))

  • 548 Accesses

Abstract

We now turn to a systematic study of the regularity properties of Z-operators in various function spaces. Some of the results we obtain have already been proved in previous chapters, in particular in Chapters I and III; they will appear again in this chapter in a more general context.

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

Access this chapter

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Phong, D. H., Stein, E. Estimates for the Bergman and Szegö projections on strongly pseudoconvex domains. Duke Math. J. 44, 695–704 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  2. Krantz, S. G. Optimal Lipschitz and LP regularity for the equation Du = f on strongly pseudoconvex domains. Math. Ann. 219, 233–260 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  3. Folland, G. B., Stein, E. M. Estimates for the ab -complex and analysis on the Heisenberg group. Comm. Pure Appl. Math. 27, 429–522 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  4. Lieb, I., Range, R. M. Estimates for a class of integral operators and applications to the D-Neumann problem. Inv. Math. 85, 415–438 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  5. Phong, D. H., Stein, E. Hilbert integrals, singular integrals and Radon transforms II. Inv. Math. 86, 75–113 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  6. Krantz, S. G. Optimal Lipschitz and LP regularity for the equation Du = f on strongly pseudoconvex domains. Math. Ann. 219, 233–260 (1976)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn, Beringstraße 6, D-53115, Bonn, Germany

    Prof. Dr. Ingo Lieb

  2. Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville, 50, rue Ferdinand Buisson, F-62228, Calais Cedex, France

    Prof. Dr. Joachim Michel

Authors
  1. Prof. Dr. Ingo Lieb
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Prof. Dr. Joachim Michel
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

About this chapter

Cite this chapter

Lieb, I., Michel, J. (2002). Regularity Properties of Admissible Operators. In: The Cauchy-Riemann Complex. Aspects of Mathematics, vol 34. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-91608-2_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-91608-2_8

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-91610-5

  • Online ISBN: 978-3-322-91608-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation