Endpoint L-p-L-q estimates for degenerate Radon transforms in R-2 associated with real-analytic functions

摘要

We consider degenerate Radon transforms of the form Rf (t, x) = integral(R) f (t + S (x, y), y) psi (x, y) dy where psi is supported in a small neighborhood of the origin. Under the condition that S is real-analytic, we prove complete L-p - L-q estimates for R. [References: 23]