3 papers
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,…
math.CV2011
Bergman-type projections in generalized Fock spaces
Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi
We give criteria for boundedness of the associated Bergman-type projections on Lp-spaces on Cn with respect to generalized Gaussian weights exp(-|z|^2m). Complete characterization…
math.CV2006
Optimal Lipschitz Estimates for the equation on a class of convex domains
Viet-Anh Nguyen, El Hassan Youssfi
In this paper, we consider the Cauchy-Riemann equation in a new class of convex domains in $\C^n.$ We prove that under data, we can choose a solution in t…