International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 7, Pages 445-448
doi:10.1155/S0161171201006342
A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras
Carroll Guillory
Department of Mathematics, University of Louisiana at Lafayette, Lafayette 70504, LA, USA
Abstract
We characterize the interpolating Blaschke products of finite type in terms of their support sets. We also give a sufficient condition on the restricted Douglas algebra of a support set that is invariant under the Bourgain map, and its minimal envelope is singly generated.