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DIVISION BY INNER FUNCTIONS
This research has been supported in part by a grant from "El Ministers De Ciencia Y Tecnología, Spain" and by a grant from "La Junta De Andalucía.".
https://doi.org/10.1142/9789812794253_0025Cited by:0 (Source: Crossref)
Abstract:
A subspace G of the Hardy space H1 is said to have the f-property if hI-1 ∈ G for any h ∈ G and any inner function I which divides h in the sense that hI-1 ∈ H1. In this paper we survey some results concerning the mean growth of the derivative of infinite Blaschke products and the f-property and present a new example of a subspace of H1 which does not have the f-property.
AMSC: 30D45, 30D50
