39 citations · 172 across the 26 of their papers we have counts for
26 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…
Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains
Joao Marcos do O, Guozhen Lu, Raoni Ponciano
We establish embeddings on a class of Sobolev spaces with potential weights on unbounded domains. Our results provide embeddings into weighted Lebesgue spaces with radial p…
Sharp Sobolev and Adams-Trudinger-Moser embeddings on weighted Sobolev spaces and their applications
João Marcos do Ó, Guozhen Lu, Raoní Ponciano
We derive sharp Sobolev embeddings on a class of Sobolev spaces with potential weights without assuming any boundary conditions. Moreover, we consider the Adams-type inequalities f…
Model Predictive Control for Trajectory Tracking on Differentiable Manifolds
Guozheng Lu, Wei Xu, Fu Zhang
We consider the problem of bridging the gap between geometric tracking control theory and implementation of model predictive control (MPC) for robotic systems operating on manifold…
Extendability and the Operator on the Hartogs Triangle
Almut Burchard, Joshua Flynn, Guozhen Lu +1
In this paper it is shown that the Hartogs triangle in is a uniform domain. This implies that the Hartogs triangle is a Sobolev extension domain. Furtherm…
Hardy's Identities and Inequalities on Cartan-Hadamard Manifolds
J. Flynn, N. Lam, G. Lu +1
We study the Hardy identities and inequalities on Cartan-Hadamard manifolds using the notion of a Bessel pair. These Hardy identities offer significantly more information on the ex…