Inner Functions with Derivatives in the Weak Hardy Space

2012/06/14 by Cima, Joseph A., Nicolau, Artur
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1206.3172

Abstract

It is proved that exponential Blaschke products are the inner functions whose derivative is in the weak Hardy space. Exponential Blaschke products are described in terms of their logarithmic means and also in terms of the behavior of the derivatives of functions in the corresponding model space.

Related

• Inner functions in weighted Hardy spaces
• Products of Functions in Hardy and Lipschitz or Bmo Spaces
• Extremal solutions of Nevalinna-Pick problems and certain classes of\n inner functions
• Integral means of the derivatives of Blaschke products
• Exceptional sets for the derivatives of Blaschke products