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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 6, Pages 84–94
DOI: https://doi.org/10.26907/0021-3446-2021-6-84-94 (Mi ivm9688) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The boundedness of maximal operators associated with singular surfaces

S. E. Usmanov

Samarkand State University, 15 Universitetski blvd., Samarkand, 140104 Republik of Uzbekistan
Full-text PDF (389 kB) Citations (7)
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DOI: https://doi.org/10.26907/0021-3446-2021-6-84-94
Abstract: In this paper it is investigated maximal operators associated with some singular surfaces in $\mathbb{R}^{3}.$ It is proved boundedness of these operators in $L^{p}$, when a surface is given by parametric equations.
Keywords: maximal operator, averaging operator, fractional power series, regular point, singular surface.
Funding agency Grant number
Academy of Sciences of the Republic of Uzbekistan ОТ-Ф4-69
Received: 28.05.2020
Revised: 31.07.2020
Accepted: 01.10.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 6, Pages 73–83
DOI: https://doi.org/10.3103/S1066369X21060086
Document Type: Article
UDC: 517.946
Language: Russian
Citation: S. E. Usmanov, “The boundedness of maximal operators associated with singular surfaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 6, 84–94; Russian Math. (Iz. VUZ), 65:6 (2021), 73–83
Citation in format AMSBIB
\Bibitem{Usm21}
\by S.~E.~Usmanov
\paper The boundedness of maximal operators associated with singular surfaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 6
\pages 84--94
\mathnet{http://mi.mathnet.ru/ivm9688}
\crossref{https://doi.org/10.26907/0021-3446-2021-6-84-94}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 6
\pages 73--83
\crossref{https://doi.org/10.3103/S1066369X21060086}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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