SINGULAR INNER FUNCTIONS OF $L^{1}-TYPE$
SINGULAR INNER FUNCTIONS OF $L^{1}-TYPE$
复制标题
$L^{1}-TYPE$ 的奇异内部函数
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
N. Niwa
中科院分区：
文献类型：
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作者：
K. Izuchi;N. Niwa
Let M be the maximal ideal space of the Banach algebra of bounded analytic functions on the open unit disc . For a positive singular measure be the set of measures v with the associated singular inner functions. Let be the union sets of $\{\psiv\;{\psi}_{\nu}\;, where is the closed support set of , then is generated by . It is proved that if and only if there exists as Blaschke product b with zeros such that $R(\mu)\;{\subset}\;{b\;. While, we proved that is a sum of finitely many point measure such that $R(\mu)\;{\subset}\;\{{\psi}_{\lambda}\;.
Let M be the maximal ideal space of the Banach algebra of bounded analytic functions on the open unit disc . For a positive singular measure be the set of measures v with the associated singular inner functions. Let be the union sets of $\{\psiv\;{\psi}_{\nu}\;, where is the closed support set of , then is generated by . It is proved that if and only if there exists as Blaschke product b with zeros such that $R(\mu)\;{\subset}\;{b\;. While, we proved that is a sum of finitely many point measure such that $R(\mu)\;{\subset}\;\{{\psi}_{\lambda}\;.