22 citations · 23 across the 9 of their papers we have counts for
9 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…
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…
Open mappings of locally compact groups
Michael G. Cowling, Karl H. Hofmann, Sidney A. Morris
The aim of this note is to insert in the literature some easy but apparently not widely known facts about morphisms of locally compact groups, all of which are concerned with the o…
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.
Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups
Michael G. Cowling
Let be a connected semisimple Lie group with finite centre and be a maximal compact subgroup thereof. Given a function on , we define to be the root…
Behaviour of the Brascamp--Lieb constant
Jonathan Bennett, Neal Bez, Michael G. Cowling +1
Recent progress in multilinear harmonic analysis naturally raises questions about the local behaviour of the best constant (or bound) in the general Brascamp--Lieb inequality as a…