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papers

Publications (25)

math.AP2011

Sharp singular Adams inequalities in high order Sobolev spaces

Nguyen Lam, Guozhen Lu

math.AP2019

Stein-Weiss inequalities with the fractional Poisson kernel

Lu Chen, Zhao Liu, Guozhen Lu +1

math.AP2015

$L^p$ Boundedness of rough Bi-parameter Fourier Integral Operators

Qing Hong, Guozhen Lu, Lu Zhang

math.CA2019

Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group

Lu Chen, Guozhen Lu, Chunxia Tao

math.AP2015

Sharp constants and optimizers for a class of the Caffarelli-Kohn-Nirenberg inequalities

Nguyen Lam, Guozhen Lu

math.AP2012

Liouville-type theorems for fully nonlinear elliptic equation in half spaces

Guozhen Lu, Jiuyi Zhu

math.CA2015

Hardy Space Estimates for Littlewood-Paley-Stein Square Functions and Calderón-Zygmund Operators

Jarod Hart, Guozhen Lu

math.AP2013

$L^{p}$ estimates for multi-linear and multi-parameter pseudo-differential operators

Wei Dai, Guozhen Lu

math.AP2010

N-Laplacian equations in $\mathbb{R}^{N}$ with subcritical and critical growth without the Ambrosetti-Rabinowitz condition

Nhuyen Lam, Guozhen Lu

math.AP2017

Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four

Guozhen Lu, Qiaohua Yang

math.CA2008

Discrete Littlewood-Paley-Stein theory and multi-parameter Hardy spaces associated with flag singular integrals

Yongsheng Han, Guozhen Lu

math.AP2013

The Maximum Principles and Symmetry results for Viscosity Solutions of Fully Nonlinear Equations

Guozhen Lu, Jiuyi Zhu

math.AP2017

Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg Groups and existence of ground state solutions

Jungang Li, Guozhen Lu, Maochun Zhu

math.CA2012

Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group: an expanded version

Yongsheng Han, Guozhen Lu, Eric Sawyer

math.CA2014

$L^{p}$ estimates for the bilinear Hilbert transform for $1/2<p\leq2/3$: A counterexample and generalizations to non-smooth symbols

Wei Dai, Guozhen Lu

math.AP2011

Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$

Nguyen Lam, Guozhen Lu

math.AP2011

An overdetermined problem in Riesz-potential and fractional Laplacian

Guozhen Lu, Jiuyi Zhu

math.CA2019

Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces

Guozhen Lu, Qiaohua Yang

math.AP2017

A sharp Trudinger-Moser type inequality involving $L^{n}$ norm in the entire space $\mathbb{R}^{n}$

Guozhen Lu, Maochun Zhu

math.AP2015

A sharp Trudinger-Moser inequality on any bounded and convex planar domain

Guozhen Lu, Qiaohua Yang

math.AP2015

Best constants and existence of maximizers for weighted Moser-Trudinger inequalities

Mengxia Dong, Guozhen Lu

math.AP2017

Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on half spaces

Guozhen Lu, Qiaohua Yang

math.AP2015

Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities

Nguyen Lam, Guozhen Lu, Lu Zhang

math.AP2011

Sharp Adams type inequalities in Sobolev spaces $W^{m,\frac{n}{m}}(\mathbb{R}^{n})$ for arbitrary integer $m$

Nguyen Lam, Guozhen Lu

math.CA2014

$L^{p}$ estimates for bilinear and multi-parameter Hilbert transforms

Wei Dai, Guozhen Lu