Aleksandra Niepla

collaborators

2 papers

math.CA2018

Decay Rate of n-Linear Oscillatory Integral Operators in $R^{2}$

Aleksandra Niepla, Kevin O'Neill, Zhen Zeng

In this paper, we prove $L^{p}$ decay estimates for multilinear oscillatory integrals in $R^{2}$ , establishing sharpness through a scaling argument. The result in this paper i…

math.CA2018

Estimating Oscillatory Integrals of Convolution Type in $R^{d}$

Aleksandra Niepla, Kevin O'Neill, Zhen Zeng

In this paper, we prove an $L^{2} - L^{2} - L^{2}$ decay estimate for a trilinear oscillatory integral of convolution type in $R^{d},$ which recovers the earlier result of Li (2013) w…

Decay Rate of n-Linear Oscillatory Integral Operators in R2

Estimating Oscillatory Integrals of Convolution Type in Rd

Decay Rate of n-Linear Oscillatory Integral Operators in $R^{2}$

Estimating Oscillatory Integrals of Convolution Type in $R^{d}$