Disintegration‐of‐measure techniques for commuting multivariable weighted shifts
Disintegration‐of‐measure techniques for commuting multivariable weighted shifts
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DOI：
10.1112/s0024611505015601
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发表时间：
2006-03
影响因子：
1.8
通讯作者：
R. Curto;Jasang Yoon
中科院分区：
文献类型：
--
作者：
R. Curto;Jasang Yoon
We employ techniques from the theory of disintegration of measures to study the Lifting Problem for commuting n‐tuples of subnormal weighted shifts. We obtain a new necessary condition for the existence of a lifting, and generate new pathology associated with bringing together the Berger measures associated to each individual weighted shift. For subnormal 2‐variable weighted shifts, we then find the precise relation between the Berger measure of the pair and the Berger measures of the shifts associated to horizontal rows and vertical columns of weights. 2000 Mathematics Subject Classification 47B20, 47B37, 47A13, 28A50 (primary), 44A60, 47‐04, 47A20 (secondary).
