A Factorization Theorem for Multiplier Algebras of Reproducing Kernel Hilbert Spaces

Prunaru, Bebe

Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 400-406

Résumé

Let $\left( X,\,B,\,\mu\right)$ be a $\sigma $ -finite measure space and let $H\,\subset \,{{L}^{2}}\left( X,\,\mu\right)$ be a separable reproducing kernel Hilbert space on $X$ . We show that the multiplier algebra of $H$ has property $\left( {{A}_{1}}\left( 1 \right) \right)$ .

Détail

DOI : 10.4153/CMB-2011-174-x

Mots-clés : 46E22, 47B32, 47L45, reproducing kernel Hilbert space, Berezin transform, dual algebra

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