Geodesic
A Factorization Theorem for Multiplier Algebras of Reproducing Kernel Hilbert Spaces
Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 400-406

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DOI

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 $\left( {{A}_{1}}\left( 1 \right) \right)$ .
DOI : 10.4153/CMB-2011-174-x
Mots-clés : 46E22, 47B32, 47L45, reproducing kernel Hilbert space, Berezin transform, dual algebra 
Prunaru, Bebe. A Factorization Theorem for Multiplier Algebras of Reproducing Kernel Hilbert Spaces. Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 400-406. doi: 10.4153/CMB-2011-174-x
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     author = {Prunaru, Bebe},
     title = {A {Factorization} {Theorem} for {Multiplier} {Algebras} of {Reproducing} {Kernel} {Hilbert} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {400--406},
     year = {2013},
     volume = {56},
     number = {2},
     doi = {10.4153/CMB-2011-174-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-174-x/}
}
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