2012•arXiv (Cornell University)Open access

Inner Functions with Derivatives in the Weak Hardy Space

Joseph A. Cima, Artur Nicolau

Open full text 0 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Blaschke product, Hardy space, Exponential function, Logarithm, Mathematics, Space (punctuation), Pure mathematics, Derivative (finance)

Related papers

Back to paper searchBrowse research topicsOriginal source
Inner Functions with Derivatives in the Weak Hardy Space — Research Paper | ScholarLens