A problem of Douglas and Rudin on factorization

Jean Bourgain

Type: Article

Publication Date: 1986-01-01

Citations: 51

DOI: https://doi.org/10.2140/pjm.1986.121.47

Abstract

If / is a bounded measurable function on the circle TΓ, then /^log |/ I dm > -oo expresses the necessary and sufficient condition on / Φ 0 to be of the form / = g -Jι where g, h e H°°.This question was proposed by Douglas and Rudin in [1], where they approximate unimodular functions on u by quotients of Blaschke products.

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

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