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Annali di Matematica Pura ed Applicata (1923 -)

, Volume 72, Issue 1, pp 295–304 | Cite as

On convolution operators leavingL p,λ spaces invariant

  • Jaak Peetre
Article

Summary

It is shown that certain convolution operators, including the Hilbert transform in the one dimensional case, leave invariant the Lp,λ spaces studied by Campanato, Stampacchia and others.

Keywords

Dimensional Case Convolution Operator 
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Copyright information

© Nicola Zanichelli Editore 1966

Authors and Affiliations

  • Jaak Peetre
    • 1
  1. 1.LundSweden

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