Some sharp $L^2 \to L^p$ decay estimates for $(2+1)$-dimensional degenerate oscillatory integral operators
Classical Analysis and ODEs
2024-11-25 v1
Abstract
We investigate dimensional oscillatory integral operators characterized by polynomial phase functions. By employing Stein's complex interpolation, we derive sharp decay estimates for these operators.
Keywords
Cite
@article{arxiv.2411.15009,
title = {Some sharp $L^2 \to L^p$ decay estimates for $(2+1)$-dimensional degenerate oscillatory integral operators},
author = {Shaozhen Xu},
journal= {arXiv preprint arXiv:2411.15009},
year = {2024}
}
Comments
This note has been submitted to a journal on August 22nd