The Herz-Schur multiplier norm of sets satisfying the Leinert condition
Colloquium Mathematicae (2011)
- Volume: 124, Issue: 2, page 255-274
- ISSN: 0010-1354
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topÉric Ricard, and Ana-Maria Stan. "The Herz-Schur multiplier norm of sets satisfying the Leinert condition." Colloquium Mathematicae 124.2 (2011): 255-274. <http://eudml.org/doc/284006>.
@article{ÉricRicard2011,
abstract = {It is well known that in a free group , one has $||χ_\{E\}||_\{M_\{cb\}A()\} ≤ 2$, 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 $||χ_\{E\}||_\{M_\{cb\}A()\}$.},
author = {Éric Ricard, Ana-Maria Stan},
journal = {Colloquium Mathematicae},
keywords = {Fourier algebra; multiplier; free group; Leinert condition; Herz-Schur norm},
language = {eng},
number = {2},
pages = {255-274},
title = {The Herz-Schur multiplier norm of sets satisfying the Leinert condition},
url = {http://eudml.org/doc/284006},
volume = {124},
year = {2011},
}
TY - JOUR
AU - Éric Ricard
AU - Ana-Maria Stan
TI - The Herz-Schur multiplier norm of sets satisfying the Leinert condition
JO - Colloquium Mathematicae
PY - 2011
VL - 124
IS - 2
SP - 255
EP - 274
AB - It is well known that in a free group , one has $||χ_{E}||_{M_{cb}A()} ≤ 2$, 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 $||χ_{E}||_{M_{cb}A()}$.
LA - eng
KW - Fourier algebra; multiplier; free group; Leinert condition; Herz-Schur norm
UR - http://eudml.org/doc/284006
ER -
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