Abstract
In this paper, we study maximal operators associated with some singular surfaces in the space \(\mathbb{R}^{3}.\) We prove the boundedness of these operators in \(L^{p}\), when a surface is given by parametric equations.
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ACKNOWLEDGMENTS
This work is dedicated to the 600th anniversary of Samarkand State University. The author expresses his deep gratitude to I.A. Ikromov for setting the task and for his attention to this work. The author is also grateful to the reviewer for valuable comments.
Funding
This work was supported by the Foundation for Basic Research of the Republic of Uzbekistan, grant no. OT-F4-69.
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Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 6, pp. 84–94.
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Usmanov, S.E. The Boundedness of Maximal Operators Associated with Singular Surfaces. Russ Math. 65, 73–83 (2021). https://doi.org/10.3103/S1066369X21060086
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DOI: https://doi.org/10.3103/S1066369X21060086