Inner Functions with Derivatives in the Weak Hardy Space
Joseph A. Cima, Artur Nicolau
Abstract
Open-access reader
Joseph A. Cima, Artur Nicolau
Abstract
Open-access reader
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.
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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.
Key concepts: Blaschke product, Hardy space, Exponential function, Logarithm, Mathematics, Space (punctuation), Pure mathematics, Derivative (finance)