Seminari del Dipartimento di Matematica

Seminario del 2018

Artur Nicolau (Universitat Autònoma de Barcelona)

The Corona Theorem in Nevanlinna quotient algebras and interpolating sequences.

nell'ambito della serie: COMPLEX ANALYSIS LAB

analisi matematica

Let H be the algebra of bounded analytic functions in the unit disc and let I be an inner function. In 2007, Gorkin, Mortini and Nikolski studied the Corona problem in the quotient algebra H/IH and proved that there is no corona if and only if I satisfies the so called weak embedding property. We discuss an analogue problem for quotients of the Nevanlinna class and show that in contrast with the previous case, a complete answer can be given in terms of interpolating sequences. This is joint work with Xavier Massaneda and Pascal Thomas.