A+ CATEGORY SCIENTIFIC UNIT

Orlicz bounds for operators of restricted weak type

Volume 103 / 2005

Paul Alton Hagelstein Colloquium Mathematicum 103 (2005), 193-197 MSC: Primary 42B35. DOI: 10.4064/cm103-2-4

Abstract

It is shown that if $T$ is a sublinear translation invariant operator of restricted weak type $(1,1)$ acting on $L^{1}(\mathbb{T})$, then $T$ maps simple functions in $L \log L (\mathbb{T})$ boundedly into $L^{1}(\mathbb{T})$.

Authors

  • Paul Alton HagelsteinDepartment of Mathematics
    Baylor University
    Waco, TX 76798, U.S.A.
    e-mail

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