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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…