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arXiv · 1602.06123

Sharp $L^{p}$-Boundedness of Oscillatory Integral Operators with Polynomial Phases

Zuoshunhua Shi·Dunyan Yan
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Abstract

In this paper, we shall prove the $L^{p}$ endpoint decay estimates of oscillatory integral operators with homogeneous polynomial phases $S$ in $\mathbb{R} \times \mathbb{R}$. As a consequence, sharp $L^{p}$ decay estimates are also obtained when polynomial phases have the form $S(x^{m_{1}},y^{m_{2}})$ with $m_1$ and $m_2$ being positive integers.

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Zuoshunhua Shi, Dunyan Yan. 2016-02-19. Sharp $L^{p}$-Boundedness of Oscillatory Integral Operators with Polynomial Phases. https://doi.org/10.1007/s00209-016-1800-0

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