Orlicz bounds for operators of restricted weak type
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 $L^{1}(\mathbb{T})$.
Keywords:
shown sublinear translation invariant operator restricted weak type acting mathbb maps simple functions log mathbb boundedly mathbb
Affiliations des auteurs :
Paul Alton Hagelstein 1
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author = {Paul Alton Hagelstein},
title = {Orlicz bounds for operators of restricted weak type},
journal = {Colloquium Mathematicum},
pages = {193--197},
publisher = {mathdoc},
volume = {103},
number = {2},
year = {2005},
doi = {10.4064/cm103-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm103-2-4/}
}
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
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