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On Maximal Operators Associated with Singular Hypersurfaces

S. E. UsmanovSh. Rashidov Samarkand State University, 140104, Samarkand, Uzbekistan
Russian Mathematicsjournal2024en

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Maximal operators associated with singular hypersurfaces in multidimensional Euclidean spaces are considered. These operators have been proven to be bounded, and an exponent of boundedness in the space of integrable functions has been found for the case when hypersurfaces are given by parametric equations.

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