11 citations · 13 across the 4 of their papers we have counts for
4 papers
A sharp Hörmander estimate for multi-parameter and multi-linear Fourier multiplier operators
Jiao Chen, Danqing He, Guozhen Lu +2
In this paper, we investigate the Hörmander type theorems for the multi-linear and multi-parameter Fourier multipliers. When the multipliers are characterized by -based Sobole…
Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols
Guozhen Lu, Jill Pipher, Lu Zhang
The main purpose of this paper is to study Hölder type estimates for a bi-parameter trilinear Fourier multiplier with flag singularity, and the analogous pseudo-differential…
Boundedness of rough Bi-parameter Fourier Integral Operators
Qing Hong, Guozhen Lu, Lu Zhang
In this paper, we will investigate the boundedness of the bi-parameter Fourier integral operators (or FIOs for short) of the following form: $$T(f)(x)=\frac{1}{(2π)^{2n}}\int_{\mat…
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
Nguyen Lam, Guozhen Lu, Lu Zhang
Sharp Trudinger-Moser inequalities on the first order Sobolev spaces and their analogous Adams inequalities on high order Sobolev spaces play an important role in geometric analysi…