Dunyan Yan

activity

20162022

most citedSharp

L^{p}

-Boundedness of Oscillatory Integral Operators with Polynomial Phases

12 citations · 35 across the 19 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.CA2016★ 2 cited

Restriction Theorem for Oscillatory Integral Operator with Certain Polynomial Phase

Shaozhen Xu, Dunyan Yan

We consider the following oscillatory integral operator \begin{equation}\label{opera-defi-1} T_{α,m}f(x)=\int_{\mathbb R^n}e^{i(x_1^{α_1} y_1^m+\cdots+x_n^{α_n} y_n^m)}f(y)dy, \end…

math.CA2016★ 12 cited

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

Zuoshunhua Shi, Dunyan Yan

In this paper, we shall prove the $L^{p}$ endpoint decay estimates of oscillatory integral operators with homogeneous polynomial phases $S$ in $R \times R$ . As a…

math.CA2016★ 5 cited

On the Multilinear Fractional Integral Operators with Correlation Kernels

Zuoshunhua Shi, Di Wu, Dunyan Yan

In this paper, we study a class of multilinear fractional integral operators which have correlation kernels $\prod_{1 \leq i < j \leq k} ∣ x_{i} - x_{j} ∣^{- α_{ij}}$ . The necessary and suffici…

Restriction Theorem for Oscillatory Integral Operator with Certain Polynomial Phase

Sharp Lp-Boundedness of Oscillatory Integral Operators with Polynomial Phases

On the Multilinear Fractional Integral Operators with Correlation Kernels

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