23 citations · 69 across the 20 of their papers we have counts for
7 papers · 1 filter
Characterizations of product Hardy spaces on stratified groups by singular integrals and maximal functions
Michael G. Cowling, Zhijie Fan, Ji Li +1
A large part of the theory of Hardy spaces on products of Euclidean spaces has been extended to the setting of products of stratified Lie groups. This includes characterisation of…
Flag Hardy space theory on Heisenberg groups and applications
Peng Chen, Michael G. Cowling, Ming-Yi Lee +2
We establish a complete theory of the flag Hardy space on the Heisenberg group with characterisations via atomic decompositions, area functions, square functions, m…
Estimates for matrix coefficients of representations
Tommaso Bruno, Michael G. Cowling, Fabio Nicola +1
Estimates for matrix coefficients of unitary representations of semisimple Lie groups have been studied for a long time, starting with the seminal work by Bargmann, by Ehrenpreis a…
The Hausdorff-Young inequality on Lie groups
Michael G. Cowling, Alessio Martini, Detlef Müller +1
We prove several results about the best constants in the Hausdorff-Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact…
Uniformly bounded representations of SL2R
Francesca Astengo, Michael Cowling, Bianca Di Blasio
We compute the "norm" of irreducible uniformly bounded representations of SL2R. We show that the Kunze-Stein version of the uniformly bounded representations has minimal norm in th…
Hardy and uncertainty inequalities on stratified Lie groups
Paolo Ciatti, Michael G. Cowling, Fulvio Ricci
We prove various Hardy-type and uncertainty inequalities on a stratified Lie group . In particular, we show that the operators , where …
A family of singular oscillatory integral operators and failure of weak amenability
Michael Cowling, Brian Dorofaeff, Andreas Seeger +1
A locally compact group is said to be weakly amenable if the Fourier algebra admits completely bounded approximative units. Consider the family of groups $G_n=SL(2,\Bbb…