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Beurling's phenomenon on analytic Hilbert spaces over the complex plane
Author(s):
Shuyun
Wei
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1439-1446.
MSC (2010):
Primary 46E22, 47A15
Posted:
December 11, 2009
MathSciNet review:
2578537
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Abstract:
In this paper, we show that Beurling's theorem on analytic Hilbert spaces over the complex plane analogous to the Hardy space or the Bergman space does not hold, but for finite co-dimensional quasi-invariant subspaces, they are generated by their wandering subspace if and only if they are generated by  provided that the order of the reproducing kernels  is less than 2 but not equal to 1.
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Additional Information:
Shuyun
Wei
Affiliation:
Department of Mathematics, Suzhou University, Jiangsu Suzhou, 215006, People's Republic of China
Email:
swei@suda.edu.cn
DOI:
10.1090/S0002-9939-09-10196-X
PII:
S 0002-9939(09)10196-X
Received by editor(s):
May 6, 2009,
Received by editor(s) in revised form:
August 28, 2009
Posted:
December 11, 2009
Additional Notes:
The author is partially supported by NNSFC in China, grant No. 10871140
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2009,
American Mathematical Society
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