Geodesic
Density of analytic polynomials in abstract Hardy spaces
Commentationes Mathematicae, Tome 57 (2017) no. 2, pp. 131-141.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Let \(X\) be a separable Banach function space on the unit circle \(\T\) and let \(H[X]\) be the abstract Hardy space built upon \(X\). We show that the set of analytic polynomials is dense in \(H[X]\) if the Hardy\polishendash Littlewood maximal operator is bounded on the associate space \(X'\). This result is specified to the case of variable Lebesgue spaces.
DOI : 10.14708/cm.v57i2.4364
Classification : 46E30, 42A10
Mots-clés : Banach function space, rearrangement-invariant space, variable Lebesgue space, abstract Hardy space, analytic polynomial, Fejér kernel 
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Alexei Yu. Karlovich. Density of analytic polynomials in abstract Hardy spaces. Commentationes Mathematicae, Tome 57 (2017) no. 2, pp.  131-141. doi : 10.14708/cm.v57i2.4364. http://geodesic.mathdoc.fr/articles/10.14708/cm.v57i2.4364/

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