Geodesic
Remarks on Weak-Type Estimates for Certain Grand Square Functions
Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 544-548

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In this note we extend weak-type estimates obtained recently by A. K. Lerner to certain grand square functions by using a simple argument in terms of real variables. In this way, we improve a weak-type $L^1$-estimate for grand Littlewood–Paley operators due to N. N. Osipov.
Keywords: Littlewood–Paley operators, (grand) square functions, sharp aperture dependence, weak-type estimates, Lorentz spaces. 
@article{MZM_2018_103_4_a5,
     author = {Yi Huang},
     title = {Remarks on {Weak-Type} {Estimates} for {Certain} {Grand} {Square} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {544--548},
     publisher = {mathdoc},
     volume = {103},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a5/}
}
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Yi Huang. Remarks on Weak-Type Estimates for Certain Grand Square Functions. Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 544-548. http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a5/