Open Problems

About the mean ergodicity of the derivative, by José Bonet.

 

Approximation by interpolating Blaschke products, by Artur Nicolau.

 

About the integrability of derivatives of Blaschke products and Dirichlet-type spaces, by José Ángel Peláez.

 

Stability of properties of Riemann surfaces under quasi-isometries, José Manuel Rodríguez.

 

Inner functions and inner factors of their derivatives, by K.M. Duakonov.

This section is devoted to collect open problems of interest to researchers in Complex Analysis and Operator Theory. They are posted here with the belief that good challenges stimulate our work.

These problems are listed along with what is known about them: background, partial results, comments and references.

If you would like to post a new problem, please send it to José Ángel Peláez japelaez@uma.es. The statement of the problem should comprise enough comments and references so as to make it as much accessible. All contributions will be conveniently reviewed.

If you have some further information about these questions, please contact José Ángel Peláez.

SPANISH NETWORK IN COMPLEX ANALYSIS AND OPERATOR THEORY