Geodesic
On the boundedness of maximal operators associated with singular surfaces
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 455-463

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The paper is devoted to investigate maximal operators associated with singular surfaces. It is proved the boundedness of these operators in the space $L^{p},$ when singular surfaces are given by parametric equations in $\mathbb{R}^{3}.$
Keywords: maximal operator, averaging operator, fractional power series, nonsingular point, critical exponent. 
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     title = {On the boundedness of maximal operators associated with singular surfaces},
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Salim E. Usmanov. On the boundedness of maximal operators associated with singular surfaces. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 455-463. http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a2/