@article{oai:oist.repo.nii.ac.jp:00001932,
 author = {Spector, Daniel and Stockdale, Cody B.},
 journal = {Communications in Contemporary Mathematics},
 month = {Nov},
 note = {Let Rj denote the jth Riesz transform on ℝn. We prove that there exists an absolute constant C>0 such that [Formula: see text] for any λ>0 and f∈L¹(ℝⁿ), where the above supremum is taken over measures of the form [Formula: see text]. This shows that to establish dimensional estimates for the weak-type (1,1) inequality for the Riesz transforms it suffices to study the corresponding weak-type inequality for Riesz transforms applied to a finite linear combination of Dirac masses. We use this fact to give a new proof of the best known dimensional upper bound, while our reduction result also applies to a more general class of Calderón–Zygmund operators.},
 title = {On the dimensional weak-type (1,1) bound for Riesz transforms},
 year = {2020}
}