Subnormality of $S_{2}(a,b,c,d)$ and its Berger measure
Bull. Korean Math. Soc. 2016 Vol. 53, No. 3, 943-957
https://doi.org/10.4134/BKMS.b150486
Published online May 31, 2016
Yongjiang Duan and Jiaqi Ni
Northeast Normal University, Northeast Normal University
Abstract : We introduce a 2-variable weighted shift, denoted by $S_2(a,b$, $c,d)$, which arises naturally from analytic function space theory. We investigate when it is subnormal, and compute the Berger measure of it when it is subnormal. And we apply the results to investigate the relationship among 2-variable subnormal, hyponormal and 2-hyponormal weighted shifts.
Keywords : subnormal, $S_{2}(a,b,c,d)$, Berger measure, 2-variable weighted shift, hyponormal, $k$-hyponormal
MSC numbers : 47B20, 47B37, 47B38, 47A13
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