Boundary interpolation and approximation by infinite Blaschke products
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Autores: Isabelle Chalendar
, Pamela Gorkin, Jonathan R. Partington
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 107, Nº 2, 2010, págs. 305-319
- Idioma: inglés
- DOI: 10.7146/math.scand.a-15157
- Enlaces
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Resumen
This paper considers the problem of boundary interpolation (in the sense of non-tangential limits) by Blaschke products and interpolating Blaschke products. Simple and constructive proofs, which also work in the more general situation of H∞(Ω) where Ω is a more general domain, are given of a number of results showing the existence of Blaschke products solving certain interpolation problems at a countable set of points on the circle. A variant of Frostman's theorem is also presented.
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