Geodesic
On maximal operators associated with a family of singular surfaces
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 2, pp. 265-274.

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Maximal operator associated with singular surfaces is considered in this paper. The boundedness of this operator in the space of summable functions is proved when singular surfaces are given by parametric equations. Boundedness index of the maximal operator is also found for these spaces.
Keywords: maximal operator, averaging operator, fractional power series, singular surface, boundedness indicator. 
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Salim E. Usmanov. On maximal operators associated with a family of singular surfaces. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 2, pp. 265-274. http://geodesic.mathdoc.fr/item/JSFU_2023_16_2_a11/

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