On analytic continuation in Hardy spaces
Valdivia, Manuel
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 493-507 / Harvested from Project Euclid
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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 $D$.
Publié le : 2009-08-15
Classification:  Analytic continuation,  barrelled spaces,  interpolation,  46E10 
@article{1251832375,
     author = {Valdivia, Manuel},
     title = {On analytic continuation in Hardy spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 493-507},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1251832375}
}

Valdivia, Manuel. On analytic continuation in Hardy spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  493-507. http://gdmltest.u-ga.fr/item/1251832375/