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On Boundedness of Maximal Operators Associated with Hypersurfaces

On Boundedness of Maximal Operators Associated with Hypersurfaces

In this paper, we obtain the criterion of boundedness of maximal operators associated with smooth hypersurfaces. Also we compute the exact value of the boundedness index of such operators associated with arbitrary convex analytic hypersurfaces in the case where the height of a hypersurface in the sense of A. N. …