Geometric Arveson-Douglas conjecture
Functional Analysis
2013-12-25 v1 Complex Variables
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.
Cite
@article{arxiv.1312.6777,
title = {Geometric Arveson-Douglas conjecture},
author = {Miroslav Englis and Joerg Eschmeier},
journal= {arXiv preprint arXiv:1312.6777},
year = {2013}
}
Comments
22 pages, no figures