Interpolating Sequence for Multipliers of $$D_{\log }$$ D log Space

Abstract

In this paper, we investigate the Dirichlet type space $$D_{\log }$$ , which is closely associated with the analytic version of $$\mathcal Q_1(\partial {\mathbb {D}})$$ space. We show that the space $$D_{\log }$$ has the Pick Property. A characterization of interpolating sequence for multipliers of $$D_{\log }$$ is given.