5 papers
Harish-Chandra's admissibility problem for Banach space representations of
Francesca Astengo, Michael G. Cowling, Bianca Di Blasio
We show that irreducible strongly continuous representations of on certain Banach spaces are admissible and that the admissibility of Banach space repre…
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 Brasc…
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 \math…
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…