Outer and inner vanishing measures and division in $H^\infty + C$

Autores: Kei Ji Izuchi
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 18, Nº 3, 2002, págs. 511-540
Idioma: inglés
DOI: 10.4171/rmi/327
Títulos paralelos:
- Medidas internas y externas tendentes a cero y división en H8 + C.
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Resumen
- 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 H8 + 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 H8 + C.