Outer and inner vanishing measures and division in $H^\infty + C$
Izuchi, Keiji
Rev. Mat. Iberoamericana, Tome 18 (2002) no. 1, p. 511-540 / Harvested from Project Euclid
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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 $H^\infty + C$.
Publié le : 2002-03-14
Classification:  Singular inner function,  bounded analytic function,  $H^\infty + C$,  46J15 
@article{1051544318,
     author = {Izuchi, Keiji},
     title = {Outer and inner vanishing measures and division in $H^\infty + C$},
     journal = {Rev. Mat. Iberoamericana},
     volume = {18},
     number = {1},
     year = {2002},
     pages = { 511-540},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1051544318}
}

Izuchi, Keiji. Outer and inner vanishing measures and division in $H^\infty + C$. Rev. Mat. Iberoamericana, Tome 18 (2002) no. 1, pp.  511-540. http://gdmltest.u-ga.fr/item/1051544318/