Functions Which are Almost Multipliers of Hilbert Function Spaces

Functions Which are Almost Multipliers of Hilbert Function Spaces
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几乎是希尔伯特函数空间的乘子的函数

DOI:
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发表时间:
1996
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影响因子:
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通讯作者:
NJ Young
NJ Young
中科院分区:
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文献类型:
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作者:
J. Agler;NJ Young

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我们介绍了一个自然类的功能,{em pseudomultiplier},与一般的Hilbert函数空间,证明了一个扩展定理,证明了定义,给出了大量的例子,并建立在温和的假设下的Hilbert空间的解析函数的1-pseudomultiplier的性质。
We introduce a natural class of functions, the {em pseudomultipliers}, associated with a general Hilbert function space, prove an extension theorem which justifies the definition, give numerous examples and establish the nature of the 1-pseudomultipliers of Hilbert spaces of analytic functions under mild hypotheses.