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On the cyclic behavior of singular inner functions in Besov and sequence spaces by Dayan, Alberto; Seco, Daniel is a scholarly article available to read on EtoBox.

What is On the cyclic behavior of singular inner functions in Besov and sequence spaces about?

We show the existence of singular inner functions that are cyclic in some Besov-type spaces of analytic functions over the unit disc. Our sufficient condition is stated only in terms of the modulus of smoothness of the underlying measure. Such singular inner functions are cyclic also in the space $\ell^p_A$ of holomorphic functions with coefficients in $\ell^p$. This can only happen for measures that place no mass on any Beurling-Carleson set.

Author

Dayan, Alberto; Seco, Daniel

Published

2025

Language

EN