On H^p-solutions of the Bezout equation

Eric Amar, Joaquim Bruna Floris and Artur Nicolau

Vol. 171 (1995), No. 2, 297–307

DOI: 10.2140/pjm.1995.171.297

Abstract

We obtain a sufficient condition on bounded holomorphic functions g₁, g₂ in the unit disk for the existence of f₁, f₂ in the Hardy space H^p such that 1 = f₁g₁ + f₂g₂. The sharpness of this condition is also studied.

Mathematical Subject Classification 2000

Primary: 30D55

Secondary: 46E15, 46J15

Milestones

Received: 11 March 1993

Revised: 30 November 1993

Published: 1 December 1995