Estimates for maximal functions associated with hypersurfaces in ℝ3 and related problems of harmonic analysis

We study the boundedness problem for maximal operators $ \mathcal{M} $ associated with averages along smooth hypersurfaces S of finite type in 3-dimensional Euclidean space. For p > 2, we prove that if no affine tangent plane to S passes through the origin and S is analytic, then the associated maxi... View More