Geodesic
Orlicz bounds for operators of restricted weak type
Paul Alton Hagelstein1
1 Department of Mathematics Baylor University Waco, TX 76798, U.S.A.
Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 193-197.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $L^{1}(\mathbb{T})$.
DOI : 10.4064/cm103-2-4
Keywords: shown sublinear translation invariant operator restricted weak type acting mathbb maps simple functions log mathbb boundedly mathbb

Paul Alton Hagelstein 1

1 Department of Mathematics Baylor University Waco, TX 76798, U.S.A. 
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Paul Alton Hagelstein. Orlicz bounds for  operators of restricted weak type. Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 193-197. doi : 10.4064/cm103-2-4. http://geodesic.mathdoc.fr/articles/10.4064/cm103-2-4/

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