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Journal of Siberian Federal University. Mathematics & Physics, 2024, Volume 17, Issue 4, Pages 455–463 (Mi jsfu1175)  
On the boundedness of maximal operators associated with singular surfaces

Salim E. Usmanov

Samarkand State University named after Sh. Rashidov, Samarkand, Uzbekistan
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Abstract: 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.
Received: 10.03.2023
Received in revised form: 15.06.2023
Accepted: 14.03.2024
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Salim E. Usmanov, “On the boundedness of maximal operators associated with singular surfaces”, J. Sib. Fed. Univ. Math. Phys., 17:4 (2024), 455–463
Citation in format AMSBIB
\Bibitem{Usm24}
\by Salim~E.~Usmanov
\paper On the boundedness of maximal operators associated with singular surfaces
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 4
\pages 455--463
\mathnet{http://mi.mathnet.ru/jsfu1175}
\edn{https://elibrary.ru/AVGDOC}
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