Volterra invariant subspaces of H-p

Volterra invariant subspaces of H-p
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DOI:
10.1016/j.bulsci.2007.08.001
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发表时间:
2008-09
影响因子:
1.3
通讯作者:
A. Aleman;B. Korenblum
A. Aleman;B. Korenblum
中科院分区:
数学4区
文献类型:
--
作者:
A. Aleman;B. Korenblum

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A complete description is obtained for the subspaces of the Hardy space Hp(p⩾1) that are invariant under the Volterra integral operator. We then show that this result can be applied to derive complete characterizations of such subspaces in a large class of Banach spaces of analytic functions in the unit disc containing the usual Bergman and Dirichlet spaces.