On maximal operators associated with singular hypersurfaces
https://doi.org/10.26907/0021-3446-2024-1-69-76
Abstract
Maximal operators associated with singular hypersurfaces in multidimensional Euclidean spaces are considered. We prove the boundedness of these operators and define a critical exponent in the space of summable functions, when hypersurfaces are given by parametric equations.
About the Author
S. E. Usmanov
Samarkand State University named after Sh. Rashidov
Uzbekistan
Uzbekistan
Salim Eshimovich Usmanov
15 Universitetski blvd., Samarkand, 140104
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Review
For citations:
Usmanov S.E. On maximal operators associated with singular hypersurfaces. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(1):69-76. (In Russ.) https://doi.org/10.26907/0021-3446-2024-1-69-76
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