Commutators and localization on the Drury–Arveson space

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• 作者：Quanlei Fang ; Jingbo Xia
• 关键词：Multiplier ; Drury&#x2013 ; Arveson space
• 刊名：Journal of Functional Analysis
• 出版年：2011
• 出版时间：15 February 2011
• 年：2011
• 卷：260
• 期：3
• 页码：639-673
• 全文大小：254 K

文摘

Let f be a multiplier for the Drury–Arveson space of the unit ball, and let ζ₁,…,ζ_n denote the coordinate functions. We show that for each 1in, the commutator belongs to the Schatten class , p>2n. This leads to a localization result for multipliers.