On analytic continuation in Hardy spaces
Manuel Valdivia
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 3 (2009), 493-507.
Abstract
Let $D$ be the open unit disk in $\mathbb C$. In this article, we construct dense subspaces of $H^p(D)$, $1\leq p\leq \infty$, with certain barrelledness properties, such that their nonzero elements cannot be extended holomorphically outside $D$.
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Permanent link to this document: http://projecteuclid.org/euclid.bbms/1251832375
Zentralblatt MATH identifier:
05612294
Bulletin of the Belgian Mathematical Society - Simon Stevin