函数的弱积空间上的乘数

IF 0.3 Q4 MATHEMATICS Concrete Operators Pub Date : 2016-03-03 DOI:10.1515/conop-2016-0004

S. Richter, B. Wick

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引用次数: 5

摘要

如果H表示域Ω上的解析函数的Hilbert空间，则弱积的定义如下:证明了如果H是Cd上的单位球上的一阶全纯Besov Hilbert空间，则H的乘子代数与H⊙H的乘子代数重合。

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A remark on the multipliers on spaces of Weak Products of functions

Abstract If H denotes a Hilbert space of analytic functions on a region Ω ⊆ Cd , then the weak product is defined by We prove that if H is a first order holomorphic Besov Hilbert space on the unit ball of Cd , then the multiplier algebras of H and of H ⊙ H coincide.

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