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October, 2002 Outer and inner vanishing measures and division in $H^\infty + C$
Keiji Izuchi
Rev. Mat. Iberoamericana 18(3): 511-540 (October, 2002).


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 $H^\infty + C$. 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 $H^\infty + C$.


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Keiji Izuchi. "Outer and inner vanishing measures and division in $H^\infty + C$." Rev. Mat. Iberoamericana 18 (3) 511 - 540, October, 2002.


Published: October, 2002
First available in Project Euclid: 28 April 2003

zbMATH: 1034.46046
MathSciNet: MR1954863

Primary: ‎46J15

Keywords: $H^\infty + C$ , bounded analytic function , singular inner function

Rights: Copyright © 2002 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.18 • No. 3 • October, 2002
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