English

Polydisc version of Arveson's conjecture

Functional Analysis 2017-01-24 v2 Operator Algebras

Abstract

In the present paper, we solve the polydisc-version of Arveson Conjecture by giving a complete criteria for essential normality of homogeneous quotient modules of the Hardy module over the polydisc, and it turns out that our method applies to quotient modules of the weighted Bergman modules As2(Dd)A^2_s(\mathbb D^d).

Keywords

Cite

@article{arxiv.1609.07777,
  title  = {Polydisc version of Arveson's conjecture},
  author = {Penghui Wang and Chong Zhao},
  journal= {arXiv preprint arXiv:1609.07777},
  year   = {2017}
}

Comments

19 pages, comments are welcome,some typos are corrected

R2 v1 2026-06-22T16:00:37.116Z