The Herz-Schur multiplier norm of sets satisfying the Leinert condition

Éric Ricard; Ana-Maria Stan

Colloquium Mathematicae, Tome 122 (2011), p. 255-274 / Harvested from The Polish Digital Mathematics Library

Résumé

It is well known that in a free group , one has $| | χ_{E} {| |}_{M_{c b} A ()} \leq 2$ , where E is the set of all the generators. We show that the (completely) bounded multiplier norm of any set satisfying the Leinert condition depends only on its cardinality. Consequently, based on a result of Wysoczański, we obtain a formula for $| | χ_{E} {| |}_{M_{c b} A ()}$ .

Publié le : 2011-01-01

Zbl 1253.43002

EUDML-ID : urn:eudml:doc:284006

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     year = {2011},
     pages = {255-274},
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Éric Ricard; Ana-Maria Stan. The Herz-Schur multiplier norm of sets satisfying the Leinert condition. Colloquium Mathematicae, Tome 122 (2011) pp. 255-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-10/