$L^p - L^{p'}$ estimates for overdetermined Radon transforms

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69618We prove several variations on the results of Ricci and Travaglini concerning bounds for convolution with all rotations of a measure supported by a fixed convex curve in the plane. Estimates are obtained for averages over higher-dimensional convex hypersurfaces, smooth k-dimensional surfaces and non-translation invariant families of surfaces.Classical Analysis and ODEs44A12; 35S30$L^p - L^{p'}$ estimates for overdetermined Radon transformstext