Geodesic
On the boundedness problem of maximal operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2022), pp. 84-94

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It is considered maximal operators associated with singular surfaces in the space $\mathbb{R}^{3}.$ It is proved theorem on the boundedness of these operators in $L^{p}$, when a singular surface is given by parametric equations.
Keywords: maximal operator, averaging operator, fractional power series, indicator of boundedness, singular surface. 
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     author = {S. E. Usmanov},
     title = {On the boundedness problem of maximal operators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {84--94},
     publisher = {mathdoc},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_4_a6/}
}
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S. E. Usmanov. On the boundedness problem of maximal operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2022), pp. 84-94. http://geodesic.mathdoc.fr/item/IVM_2022_4_a6/