H. Bommier-Hato

activity

20112020

most citedBig Hankel operators on vector-valued Fock spaces in $\C^d$

1 citations · 1 across the 7 of their papers we have counts for

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math.FA2020

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…

math.FA2020

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…

math.FA2020

Small Hankel operators on vector valued generalzed Fock spaces

H. Bommier-Hato

We study small Hankel operators $h_{b}$ with operator-valued holomorphic symbol $b$ on a class of vector-valued Fock type spaces. We show that the boundedness / compactness of $h_{b}$ …

math.FA2011

Dixmier trace and the Fock space

Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi

We give criteria for products of Toeplitz and Hankel operators on the Fock (Segal-Bargmann) space to belong to the Dixmier class, and compute their Dixmier trace. At the same time,…