Inner functions in weak Besov spaces

TL;DR

This paper characterizes inner functions within weak Besov spaces, establishing that they are exactly the exponential Blaschke products, thus linking function space properties with specific classes of inner functions.

Contribution

It provides a precise characterization of inner functions in weak Besov spaces as exponential Blaschke products, a novel result in the theory of function spaces.

Findings

Inner functions in weak Besov spaces are exponential Blaschke products

The paper establishes a complete characterization of these inner functions

Links between weak Besov spaces and specific inner functions are clarified

Abstract

It is shown that inner functions in weak Besov spaces are precisely the exponential Blaschke products.