23 citations · 69 across the 20 of their papers we have counts for
24 papers
CR embeddings of nilpotent Lie groups
M. G. Cowling, M. Ganji, A. Ottazzi +1
We show that a connected, simply connected nilpotent Lie group with an integrable left-invariant complex structure on a generating and suitably complemented subbundle of the tangen…
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…
CR embeddings of CR manifolds
M. G. Cowling, M. Ganji, A. Ottazzi +1
We improve results of Baouendi, Rothschild and Treves and of Hill and Nacinovich by finding a much weaker sufficient condition for a CR manifold of type to admit a local CR…
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…
Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in
Peng Chen, Michael G. Cowling, Guorong Hu +1
Let , , be the boundary of an unbounded polynomial domain of finite type in , and let be the Kohn Laplacian on $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…