5 papers
Essential normality of Bergman modules over intersections of complex ellipsoids
Mohammad Jabbari
This paper studies the essential normality of Bergman modules over the intersection of complex ellipsoids, as well as their quotients by monomial ideals.
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…
-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 $…
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…
A New Index Theorem for Monomial Ideals by Resolutions
Ronald G. Douglas, Mohammad Jabbari, Xiang Tang +1
We prove an index theorem for the quotient module of a monomial ideal. We obtain this result by resolving the monomial ideal by a sequence of Bergman space like essentially normal…