Interpolation on non-uniformly separated sequences in a weighted Bergman space
We consider a definition of interpolation, called O-interpolation, that includes the possibility of sequences that are not uniformly separated. We prove that the density condition used to describe classical interpolation sequences is actually sufficient to give O-interpolation.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2013-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000060 |
| Summary: | We consider a definition of interpolation, called O-interpolation, that includes the possibility of sequences that are not uniformly separated. We prove that the density condition used to describe classical interpolation sequences is actually sufficient to give O-interpolation. |
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| ISSN: | 1110-256X |