Article ID Journal Published Year Pages File Type
4665434 Advances in Mathematics 2015 25 Pages PDF
Abstract

We prove the Arveson–Douglas essential normality conjecture for graded Hilbert submodules that consist of functions vanishing on a given homogeneous subvariety of the ball, smooth away from the origin. Our main tool is the theory of generalized Toeplitz operators of Boutet de Monvel and Guillemin.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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