Original Paper

Singular integrals on Besov spaces

  1. Tuomas Hytönen1,*,
  2. Lutz Weis2,†

Article first published online: 9 MAR 2006

DOI: 10.1002/mana.200310379

Issue

Mathematische Nachrichten

Mathematische Nachrichten

Volume 279, Issue 5-6, pages 581–598, April 2006

Additional Information

How to Cite

Hytönen, T. and Weis, L. (2006), Singular integrals on Besov spaces. Mathematische Nachrichten, 279: 581–598. doi: 10.1002/mana.200310379

Author Information

  1. 1

    Department of Mathematics, University of Turku, FI – 20014 Turku, Finland

  2. 2

    Mathematisches Institut I, Universität Karlsruhe, Englerstraße 2, 76128 Karlsruhe, Germany

  1. †

    Phone: +49 721 608 3821, Fax: +49 721 608 6177

*Phone: +358 2 333 5686, Fax: +358 2 333 6595

Publication History

  1. Issue published online: 9 MAR 2006
  2. Article first published online: 9 MAR 2006
  3. Manuscript Accepted: 10 MAY 2004
  4. Manuscript Revised: 19 APR 2004
  5. Manuscript Received: 17 AUG 2003

SEARCH

SEARCH BY CITATION

ARTICLE TOOLS

Get PDF (262K)

Keywords:

  • Vector-valued function space;
  • Hörmander's integral condition

Abstract

The boundedness of singular convolution operators f ↦ k ∗ f is studied on Besov spaces of vector-valued functions, the kernel k taking values in ℒ(X , Y ). The main result is a Hörmander-type theorem giving sufficient conditions for the boundedness of such an operator on these spaces. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Get PDF (262K)