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

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发表日期：

2025年2月21日

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Shaozhen Xu

摘要

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

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

摘要