Geodesic
On some maximal operators, connected with the operation of convolution
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 565-581
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Some maximal operators, special cases of which include the maximal Hilbert operator and Hardy–Littlewood maximal function, have been considered in this article. We prove estimations that generalize Kolmogoroff and Riesz theorems under weaker conditions than in previous works of T. P. Lukashenko and M. Kotlyar. 
@article{FPM_2000_6_2_a13,
     author = {T. Yu. Semenova},
     title = {On~some maximal operators, connected with the~operation of convolution},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {565--581},
     year = {2000},
     volume = {6},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a13/}
}
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T. Yu. Semenova. On some maximal operators, connected with the operation of convolution. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 565-581. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a13/