On maximal operators associated with singular hypersurfaces
S. E. UsmanovSamarkand State University named after Sh. Rashidov
ABI
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.
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