3 papers
math.GR2026
The Brascamp--Lieb inequality on compact Lie groups and its extinction on homogeneous Lie groups
Michael G. Cowling, Ji Li, Chong-Wei Liang
We study the Brascamp--Lieb inequalities on locally compact nonabelian groups and the Brascamp--Lieb constants associated to a Brasca…
math.CA2025
Flag Hardy spaces and partial differential equations
Michael G Cowling, Ji Li
After a quick introduction to flag geometry on the Heisenberg group, we discuss the problem of identifying flag atoms, which boils down to a question in PDE. We establish a conject…
math.FA2023
An endpoint estimate for product singular integral operators on stratified Lie groups
Michael G. Cowling, Ming-Yi Lee, Ji Li +1
We establish hyperweak boundedness of area functions, square functions, maximal operators and Calderón--Zygmund operators on products of two stratified Lie groups.