Geometric Arveson-Douglas conjecture

By Miroslav Englis, Joerg Eschmeier. 2013

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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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e44f34784add2c89dda0a9c21885f3e938fd834d