4 papers
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…
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…
On subordinated semigroups and Hardy spaces associated to fractional powers of operators
The Anh Bui, Michael G. Cowling, Xuan Thinh Duong
Let be a positive self-adjoint operator on , where is a -finite metric measure space. When , the subordinated semigroup $\{\exp(-tL^α):t \in \mathbb{…
Brascamp--Lieb inequalities on locally compact abelian groups
Jonathan Bennett, Michael G. Cowling
We establish a structure theorem for the Brascamp--Lieb constant formulated in the general setting of locally compact abelian groups. This extends and unifies the finiteness charac…