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

Abstract

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 $H^\infty + C$.

Citation

Download Citation

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

Information

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

zbMATH: 1034.46046
MathSciNet: MR1954863

Subjects:
Primary: ‎46J15

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

JOURNAL ARTICLE
30 PAGES


SHARE
Vol.18 • No. 3 • October, 2002
Back to Top