Interpolation in model spaces
| Autor: | Pamela Gorkin, Brett D. Wick |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Mathematics - Complex Variables Blaschke product 010102 general mathematics Hardy space 01 natural sciences symbols.namesake 0103 physical sciences Metric (mathematics) FOS: Mathematics symbols Discrete Mathematics and Combinatorics 010307 mathematical physics Geometry and Topology Complex Variables (math.CV) 0101 mathematics Analysis Mathematics Interpolation |
| Zdroj: | Proceedings of the American Mathematical Society, Series B. 7:170-182 |
| ISSN: | 2330-1511 |
| DOI: | 10.1090/bproc/59 |
| Popis: | In this paper we consider interpolation in model spaces, $H^2 \ominus B H^2$ with $B$ a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as well as two sequences that are close to each other in the pseudohyperbolic metric. The paper concludes with a discussion of the behavior of Frostman sequences under perturbations. v1: 13 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|