Subsets of Hardy-class zero sets in the ball

Autores: Pascal J. Thomas
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 34, Nº 1, 1990, págs. 135-144
Idioma: inglés
DOI: 10.5565/publmat_34190_10
Títulos paralelos:
- Subconjuntos de conjuntos de clase-Hardy cero en la bola
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Resumen
- We consider the problem of whether the union of complex hyperplanes can be a subset of a zero variety for the Hardy classes of the ball. A sufficient condition is found, consisting in a strong geometric separatedness requirement, together with a quantitative requirement slightly stronger than the necessary condition for Nevanlinna class zero varieties.