1 citations · 1 across the 7 of their papers we have counts for
9 papers
Sarason Toeplitz product problem for a class of Fock spaces
Helene Bommier-Hato, El Hassan Youssfi, Kehe Zhu
Sarason Toeplitz product problem asks when the operator TuTv is bounded on various Hilbert spaces of analytic functions, where u and v are analytic. The problem is highly nontrivia…
Volterra operators and Hankel forms on Bergman spaces of Dirichlet series
H. Bommier-Hato
For a Dirichlet series g, we study the Volterra operator Tg of symbol g, acting on a class of weighted Hilbert spaces of Dirichlet series. We obtain sufficient / necessary conditio…
Small Hankel operators on vector valued generalzed Fock spaces
H. Bommier-Hato
We study small Hankel operators with operator-valued holomorphic symbol on a class of vector-valued Fock type spaces. We show that the boundedness / compactness of …
Radial balanced metrics on the unit ball of the Kepler manifold
Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi
We show that there is no radial balanced metric on the unit ball of the Kepler manifold with not too wild boundary behavior. Additionally, we identify explicitly the weights corres…
De Branges spaces and Fock spaces
Anton Baranov, Hélène Bommier-Hato
Relations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with non-radial weights, are studied. It is shown that any de Branges sp…
Big Hankel operators on vector-valued Fock spaces in $\C^d$
Helene Bommier-Hato, Olivia Constantin
We study big Hankel operators acting on vector-valued Fock spaces with radial weights in $\C^d$. We provide complete characterizations for the boundedness, compactness and Schatten…