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Boundedness of convolution operators with smooth kernels on Orlicz spaces

Volume 151 / 2002

Hugo Aimar, Eleonor Harboure, Bibiana Iaffei Studia Mathematica 151 (2002), 195-206 MSC: Primary 47B38; Secondary 46E30. DOI: 10.4064/sm151-3-1

Abstract

We study boundedness in Orlicz norms of convolution operators with integrable kernels satisfying a generalized Lipschitz condition with respect to normal quasi-distances of ${\Bbb R}^n$ and continuity moduli given by growth functions.

Authors

  • Hugo AimarDepartamento de Matemática
    FIQ–IMAL
    Universidad Nacional del Litoral
    CONICET
    Santa Fe, Argentina
    e-mail
  • Eleonor HarboureDepartamento de Matemática
    FIQ–IMAL
    Universidad Nacional del Litoral
    CONICET
    Santa Fe, Argentina
    e-mail
  • Bibiana IaffeiDepartamento de Matemática
    FHUC–IMAL
    Universidad Nacional del Litoral
    CONICET
    Santa Fe, Argentina
    e-mail

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