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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 4, Pages 84–94
DOI: https://doi.org/10.26907/0021-3446-2022-4-84-94 (Mi ivm9770) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the boundedness problem of maximal operators

S. E. Usmanov

Samarkand State University after Sh. Rashidov, 15 Universitetski blvd., Samarkand, 140104 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2022-4-84-94
Abstract: It is considered maximal operators associated with singular surfaces in the space $\mathbb{R}^{3}.$ It is proved theorem on the boundedness of these operators in $L^{p}$, when a singular surface is given by parametric equations.
Keywords: maximal operator, averaging operator, fractional power series, indicator of boundedness, singular surface.
Received: 20.07.2021
Revised: 20.07.2021
Accepted: 29.09.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 4, Pages 74–83
DOI: https://doi.org/10.3103/S1066369X22040077
Document Type: Article
UDC: 517.946
Language: Russian
Citation: S. E. Usmanov, “On the boundedness problem of maximal operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 4, 84–94; Russian Math. (Iz. VUZ), 66:4 (2022), 74–83
Citation in format AMSBIB
\Bibitem{Usm22}
\by S.~E.~Usmanov
\paper On the boundedness problem of maximal operators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 4
\pages 84--94
\mathnet{http://mi.mathnet.ru/ivm9770}
\crossref{https://doi.org/10.26907/0021-3446-2022-4-84-94}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 4
\pages 74--83
\crossref{https://doi.org/10.3103/S1066369X22040077}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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