Bulletin of the Belgian Mathematical Society - Simon Stevin

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 $D$.

Primary Subjects: 46E10
Keywords: Analytic continuation; barrelled spaces; interpolation

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bbms/1251832375
Zentralblatt MATH identifier: 05612294


2009 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin