Smoothing theorems for Radon transforms over hypersurfaces and related operators
Smoothing theorems for Radon transforms over hypersurfaces and related operators
Abstract We extend the theorems of [M. Greenblatt, <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>L</m:mi> <m:mi>p</m:mi> </m:msup> </m:math> L^{p} Sobolev regularity of averaging operators over hypersurfaces and the Newton polyhedron, J. Funct. Anal. 276 2019, 5, 1510–1527] on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>L</m:mi> <m:mi>p</m:mi> </m:msup> </m:math> {L^{p}} to <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msubsup> <m:mi>L</m:mi> <m:mi>s</m:mi> <m:mi>p</m:mi> …