Shaozhen Xu

activity

20172022

L^{p}

decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2022

A sharp decay estimate for degnerate oscillatory integral operators using broad-narrow method

Shaozhen Xu

We use broad-narrow method to estabish the sharp $L^{4}$ decay estimate for a class of degenerate oscillatory integral operators in $(2 + 1)$ dimensions. Especially, the model phase fu…

math.CA2018

Damping estimates for oscillatory integral operators with real-analytic phases and its applications

Zuoshunhua Shi, Shaozhen Xu, Dunyan Yan

In this paper, we investigate sharp damping estimates for a class of one dimensional oscillatory integral operators with real-analytic phases. By establishing endpoint estimates fo…

math.CA2017★ 3 cited

The sharp $L^{p}$ decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables

Shaozhen Xu, Dunyan Yan

We obtain the $L^{p}$ decay of oscillatory integral operators $T_{λ}$ with certain homogeneous polynomial phase of degree $d$ in $(n + n)$ -dimensions. In this paper we require that $d>2n…

A sharp decay estimate for degnerate oscillatory integral operators using broad-narrow method

Damping estimates for oscillatory integral operators with real-analytic phases and its applications

The sharp Lp decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables

The sharp $L^{p}$ decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables