Interpolation and sampling sequences for mixed-norm spaces.

摘要

The mixed norm spaces are analytic function spaces that generalize Bergman spaces. This thesis extends the known characterization of interpolation sequences for Bergman spaces to these mixed-norm spaces. The Bergman spaces have conformal invariance properties not shared by the mixed-norm spaces. As a result, different techniques of proof were required. Partial results along the same lines are obtained for sampling sequences.