Abstract
The paper deals with boundedness problem for maximal operators associated with singular surfaces given by parametric equations in \(\mathbb{R}^{3}.\) We investigate boundedness of these operators in the space of integrable functions with degree \(p\). Also, it is found the exact value of the boundedness exponent of maximal operators.
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Usmanov, S. On Estimates for Maximal Operators Associated with Singular Surfaces. Lobachevskii J Math 45, 875–882 (2024). https://doi.org/10.1134/S1995080224600146
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DOI: https://doi.org/10.1134/S1995080224600146