Outer and inner vanishing measures and division in H∞ + C
Outer and inner vanishing measures and division in H∞ + C
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H∞ + C 中的外部和内部消失测度和划分
DOI：
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发表时间：
2003
期刊：
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通讯作者：
K. Izuchi
中科院分区：
文献类型：
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作者：
K. Izuchi
从傅立叶分析的角度对单位圆上的测度进行了较好的研究。本文从泊松积分和奇异内函数的整除性的角度研究了H-∞+C中的度量，特别是研究了具有内外消失性的奇异度量。给出了一个奇异正测度的两个分解。作为应用，研究了H-∞+C中的除法定理。
Measures on the unit circle are well studied from the view of Fourier analysis. In this paper, we investigate measures from the view of Poisson integrals and of divisibility of singular inner functions in H∞+C. Especially, we study singular measures which have outer and inner vanishing measures. It is given two decompositions of a singular positive measure. As applications, it is studied division theorems in H∞ + C.