Orlicz bounds for operators of restricted weak type
Tom 103 / 2005
Colloquium Mathematicum 103 (2005), 193-197
MSC: Primary 42B35.
DOI: 10.4064/cm103-2-4
Streszczenie
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 $L^{1}(\mathbb{T})$.
