Some sharp $L^2\to L^p$ decay estimates for $(2+1)$-dimensional degenerate oscillatory integral operators

Abstract

We investigate $(2+1)-$dimensional oscillatory integral operators characterized by polynomial phase functions. By employing Stein's complex interpolation, we derive sharp $L^2\to L^p$ decay estimates for these operators.

arXiv commentThis note has been submitted to a journal on August 22nd