Author:
Wu Changhui,Wang Zhijie,Yu Tao
Abstract
AbstractIn the present paper, we first study the wandering subspace property of the shift operator on the $$I_{a}$$
I
a
type zero based invariant subspaces of the weighted Bergman spaces $$L_{a}^{2}(dA_{n})(n=0,2)$$
L
a
2
(
d
A
n
)
(
n
=
0
,
2
)
via the spectrum of some Toeplitz operators on the Hardy space $$H^{2}$$
H
2
. Second, we give examples to show that Shimorin’s condition for the shift operator fails on the $$I_{a}$$
I
a
type zero based invariant subspaces of the weighted Bergman spaces $$L_{a}^{2}(dA_{\alpha })(\alpha >0)$$
L
a
2
(
d
A
α
)
(
α
>
0
)
.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference12 articles.
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