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On restricted weak type : The continuous case
Authors:Paul A Hagelstein  Roger L Jones
Institution:Department of Mathematics, Baylor University, Waco, Texas 76798 ; Department of Mathematics, DePaul University, Chicago, Illinois 60614
Abstract:Let $\mathbb{T} $ denote the unit circle. An example of a sublinear translation-invariant operator $T$ acting on $L^{1}\left(\mathbb{T}\right)$ is given such that $T$ is of restricted weak type $(1,1)$ but not of weak type $(1,1)$.

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