By Naoya Hatano and others

Let *H^d*, *0<d<n*, be the dyadic Hausdorff content of the *n*-dimensional Euclidean space *{\mathbb R}^n*. It is shown that *H^d* counts a~Cantor set of the unit cube *[0, 1)^n* as *\approx 1*, which implies unboundedness of the sparse operator *{\mathcal A}_{{\mathcal S}}* on the Choquet space *{\mathcal L}^p(H^d)*, *p>0*. In... Show more

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October 16, 2023

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Choquet integrals, Hausdorff content and sparse operators

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