Maximal Averages over Singular Hypersurfaces

We consider maximal operators associated with a class of parameterized singular hypersurfaces in $$\mathbb{R}^{n+1},$$ showing boundedness of these operators in Lebesgue $$L^{p}$$ space for $$p>2$$ . Also, we prove that at least one of the principal curvatures is non-zero at each regular point of these hypersurfaces.

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