39 citations · 172 across the 26 of their papers we have counts for
5 papers · 1 filter
Sharp constants and optimizers for a class of the Caffarelli-Kohn-Nirenberg inequalities
Nguyen Lam, Guozhen Lu
In this paper, we will use a suitable tranform to investigate the sharp constants and optimizers for the following Caffarelli-Kohn-Nirenberg inequalities for a wide range of parame…
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…
Hardy Space Estimates for Littlewood-Paley-Stein Square Functions and Calderón-Zygmund Operators
Jarod Hart, Guozhen Lu
In this work, we give new sufficient conditions for a Littlewood-Paley-Stein square function and necessary and sufficient conditions for a Calderón-Zygmund operator to be bounded o…
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…
Best constants and existence of maximizers for weighted Moser-Trudinger inequalities
Mengxia Dong, Guozhen Lu
In this paper, we will establish the best constants for certain classes of weighted Moser-Trudinger inequalities on the entire Euclidean spaces . We will also prove t…