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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 3, Pages 348–356 (Mi jsfu1084)  
On the sharp estimates for maximal operators

Azamat M. Barakayev

Samarkand State University, Samarkand, Uzbekistan
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Abstract: 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, Fourier transform, hypersurface, boundedness.
Received: 10.12.2022
Received in revised form: 05.01.2023
Accepted: 20.03.2023
Bibliographic databases:
Document Type: Article
UDC: 517.518.5
Language: English
Citation: Azamat M. Barakayev, “On the sharp estimates for maximal operators”, J. Sib. Fed. Univ. Math. Phys., 16:3 (2023), 348–356
Citation in format AMSBIB
\Bibitem{Bar23}
\by Azamat~M.~Barakayev
\paper On the sharp estimates for maximal operators
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 3
\pages 348--356
\mathnet{http://mi.mathnet.ru/jsfu1084}
\edn{https://elibrary.ru/SMQNCR}
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