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 $D$.
Citation
Manuel Valdivia. "On analytic continuation in Hardy spaces." Bull. Belg. Math. Soc. Simon Stevin 16 (3) 493 - 507, August 2009. https://doi.org/10.36045/bbms/1251832375
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