Annali di Matematica Pura ed Applicata (1923 -)

, Volume 153, Issue 1, pp 53–62 | Cite as

Singular integral operators on 53-0153-0153-01-spaces

  • Eiichi Nakai
  • Kôzô Yabuta
Article

Summary

It is shown that certain singular integral operators with variable kernels leave invariant theLv,Φ-spaces studied by Campanato, Stampacchia, Peetre and others. Our results extend Peetre's work on convolution operators.

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1989

Authors and Affiliations

  • Eiichi Nakai
    • 1
  • Kôzô Yabuta
    • 2
  1. 1.Yuki Daiichi Senior High SchoolIbaraki-kenJapan
  2. 2.Department of MathematicsIbaraki UniversityIbarakiJapan

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