On linear extension for interpolating sequences

Details On linear extension for interpolating sequences On linear extension for interpolating sequences

2006-10-10

arxiv.org/abs/math/0610314v1

Mathematics

Complex Variables

12 pages

Scientific paper

Title: On linear extension for interpolating sequences. Author: Eric Amar Abstract: Let A be a uniform algebra on the compact space X and $\sigma $ a probability measure on X. We define the Hardy spaces $H^{p}(\sigma)$ and the $H^{p}(\sigma)$ interpolating sequences S in the p-spectrum ${\mathcal{M}}_{p}$ of $\sigma $. We prove, under some structural hypotheses on $\sigma $ that "Carleson type" conditions on S imply that S is interpolating with a linear extension operator in $\displaystyle H^{s}(\sigma), s

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