factorization theorem for H functions

Let H denote the bounded analytic functionsMathworldPlanetmath on the unit disc.


Every fH can be written as


where |α|=1, I is an inner function and F is a bounded outer function. Conversely any function which can be so written is bounded.


  • 1 John B. Conway. . Springer-Verlag, New York, New York, 1995.
Title factorization theorem for H functions
Canonical name FactorizationTheoremForHinftyFunctions
Date of creation 2013-03-22 15:36:23
Last modified on 2013-03-22 15:36:23
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 4
Author jirka (4157)
Entry type Theorem
Classification msc 30H05
Related topic InnerFunction