Interpolating Sequences in Harmonically Weighted Dirichlet Spaces

Research paper by Gerardo R. Chacón

Indexed on: 16 Jul '10Published on: 16 Jul '10Published in: Integral Equations and Operator Theory


In this article we show that interpolating sequences on certain harmonically weighted Dirichlet spaces can be characterized in terms of a separation condition and a Carleson-measure condition. This is the first example of a space with Nevanlinna–Pick kernel with non-radially symmetric weights in which this characterization remains true.