Geodesic
On locally convex extension of $H^{\infty }$ in the unit ball and continuity of the Bergman projection
M. Jasiczak1
1 Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznań, Poland
Studia Mathematica, Tome 156 (2003) no. 3, pp. 261-275

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We define locally convex spaces $LW$ and $HW$ consisting of measurable and holomorphic functions in the unit ball, respectively, with the topology given by a family of weighted-sup seminorms. We prove that the Bergman projection is a continuous map from $LW$ onto $HW$. These are the smallest spaces having this property. We investigate the topological and algebraic properties of $HW$.
DOI : 10.4064/sm156-3-4
Keywords: define locally convex spaces consisting measurable holomorphic functions unit ball respectively topology given family weighted sup seminorms prove bergman projection continuous map these smallest spaces having property investigate topological algebraic properties

M. Jasiczak 1

1 Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznań, Poland 
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M. Jasiczak. On locally convex extension of $H^{\infty }$ in the unit ball
  and continuity of the Bergman projection. Studia Mathematica, Tome 156 (2003) no. 3, pp. 261-275. doi: 10.4064/sm156-3-4

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