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Subnormality of $S_{2}(a,b,c,d)$ and its Berger measure
Yongjiang Duan,Jiaqi Ni 대한수학회 2016 대한수학회보 Vol.53 No.3
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.
SUBNORMALITY OF S<sub>2</sub>(a, b, c, d) AND ITS BERGER MEASURE
Duan, Yongjiang,Ni, Jiaqi Korean Mathematical Society 2016 대한수학회보 Vol.53 No.3
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.