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

Shaozhen Xu

paper

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

arXiv:2411.15009

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.

This note has been submitted to a journal on August 22nd

Some sharp L2→Lp decay estimates for (2+1)-dimensional degenerate oscillatory integral operators

Abstract

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