A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras
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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006342 |
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doaj-71555fa2c7924b08a01770a8829aba072020-11-25T00:31:51ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126744544810.1155/S0161171201006342A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebrasCarroll Guillory0Department of Mathematics, University of Louisiana at Lafayette, Lafayette 70504, LA, USAWe 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.http://dx.doi.org/10.1155/S0161171201006342 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Carroll Guillory |
| spellingShingle |
Carroll Guillory A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Carroll Guillory |
| author_sort |
Carroll Guillory |
| title |
A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras |
| title_short |
A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras |
| title_full |
A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras |
| title_fullStr |
A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras |
| title_full_unstemmed |
A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras |
| title_sort |
note on minimal envelopes of douglas algebras, minimal support sets, and restricted douglas algebras |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171201006342 |
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