Geodesic
On the sharp estimates for maximal operators
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 3, pp. 348-356

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The paper deals with boundedness problem for the maximal operators associated with hypersurfaces in the space of square integrable functions. A necessary condition for boundedness is given in the case of one nonvanishing principal curvature. A criterion for the boundedness is obtained for a particular class of convex hypersurfaces.
Keywords: maximal operator, boundedness.
Mots-clés : Fourier transform, hypersurface 
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     title = {On the sharp estimates for maximal operators},
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Azamat M. Barakayev. On the sharp estimates for maximal operators. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 3, pp. 348-356. http://geodesic.mathdoc.fr/item/JSFU_2023_16_3_a6/