SUBNORMALITY OF S2(a, b, c, d) AND ITS BERGER MEASURE

Title & Authors
SUBNORMALITY OF S2(a, b, c, d) AND ITS BERGER MEASURE
Duan, Yongjiang; Ni, Jiaqi;

Abstract
We introduce a 2-variable weighted shift, denoted by $\small{S_2}$(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;$\small{S_2}$(a, b, c, d);Berger measure;2-variable weighted shift;hyponormal;k-hyponormal;
Language
English
Cited by
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