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math.FA2020
Perturbations of principal submodules in the Drury-Arveson space
Mohammad Jabbari, Xiang Tang
We study the geometry in the perturbations of principal submodules in the Drury-Arveson space. We show that the perturbations give rise to smooth vector bundles of Hilbert spaces w…
math.FA2020
-Summable commutators in Bergman spaces on egg domains
Mohammad Jabbari
The exact range of the positive real parameter is determined so that the multiplications by polynomial functions acting on Bergman spaces over complex ellipsoids are Schatten $…
math.OA2020
An index theorem for quotients of Bergman spaces on egg domains
Mohammad Jabbari, Xiang Tang
In this paper we prove a -homology index theorem for the Toeplitz operators obtained from the multishifts of the Bergman space on several classes of egg-like domains. This gener…