Geodesic
The boundedness of maximal operators associated with singular surfaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2021), pp. 84-94

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In this paper it is investigated maximal operators associated with some singular surfaces in $\mathbb{R}^{3}.$ It is proved boundedness of these operators in $L^{p}$, when a surface is given by parametric equations.
Keywords: maximal operator, averaging operator, fractional power series, regular point, singular surface. 
@article{IVM_2021_6_a7,
     author = {S. E. Usmanov},
     title = {The boundedness of maximal operators associated with singular surfaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {84--94},
     publisher = {mathdoc},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_6_a7/}
}
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S. E. Usmanov. The boundedness of maximal operators associated with singular surfaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2021), pp. 84-94. http://geodesic.mathdoc.fr/item/IVM_2021_6_a7/