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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 2, Pages 265–274 (Mi jsfu1076)  
This article is cited in 1 scientific paper (total in 1 paper)

On maximal operators associated with a family of singular surfaces

Salim E. Usmanov

Samarkand State University named after Sh. Rashidov, Samarkand, Uzbekistan
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Abstract: 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.
Received: 10.09.2022
Received in revised form: 16.12.2022
Accepted: 20.01.2023
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Salim E. Usmanov, “On maximal operators associated with a family of singular surfaces”, J. Sib. Fed. Univ. Math. Phys., 16:2 (2023), 265–274
Citation in format AMSBIB
\Bibitem{Usm23}
\by Salim~E.~Usmanov
\paper On maximal operators associated with a family of singular surfaces
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 2
\pages 265--274
\mathnet{http://mi.mathnet.ru/jsfu1076}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4576471}
\edn{https://elibrary.ru/UBLKLU}
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    • This publication is cited in the following 1 articles:
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