2 citations · 2 across the 12 of their papers we have counts for
4 papers · 1 filter
A Converse Mean-Value Property
Matěj Moravík, El Hassan Youssfi
We prove a converse mean-value theorem for harmonic functions associated with the invariant Laplace--Beltrami operator on the real unit ball. Under suitable integrability and topol…
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…
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,…
Hankel operators on Fock spaces and related Bergman kernel estimates
Kristian Seip, El Hassan Youssfi
Hankel operators with anti-holomorphic symbols are studied for a large class of weighted Fock spaces on $\cn$. The weights defining these Hilbert spaces are radial and subject to a…