[Multiplicateurs pour les espaces de Besov sur les groupes de Lie gradués]
Dans cette note, nous étudions des espaces de Besov sur les groupes de Lie gradués et nous prouvons des théorèmes de multiplicateurs spectraux et de Fourier sur ces groupes. Nous présentons aussi une inégalité de type Nikolskii et le théorème de Littlewood–Paley, qui jouent un rôle dans cette analyse et sont également d'intérêt indépendant.
In this note, we give embeddings and other properties of Besov spaces, as well as spectral and Fourier multiplier theorems, in the setting of graded Lie groups. We also present a Nikolskii-type inequality and the Littlewood–Paley theorem that play a role in this analysis and are also of interest on their own.
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@article{CRMATH_2017__355_4_400_0,
author = {Cardona, Duv\'an and Ruzhansky, Michael},
title = {Multipliers for {Besov} spaces on graded {Lie} groups},
journal = {Comptes Rendus. Math\'ematique},
pages = {400--405},
publisher = {Elsevier},
volume = {355},
number = {4},
year = {2017},
doi = {10.1016/j.crma.2017.02.015},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2017.02.015/}
}
TY - JOUR AU - Cardona, Duván AU - Ruzhansky, Michael TI - Multipliers for Besov spaces on graded Lie groups JO - Comptes Rendus. Mathématique PY - 2017 SP - 400 EP - 405 VL - 355 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.02.015/ DO - 10.1016/j.crma.2017.02.015 LA - en ID - CRMATH_2017__355_4_400_0 ER -
%0 Journal Article %A Cardona, Duván %A Ruzhansky, Michael %T Multipliers for Besov spaces on graded Lie groups %J Comptes Rendus. Mathématique %D 2017 %P 400-405 %V 355 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.02.015/ %R 10.1016/j.crma.2017.02.015 %G en %F CRMATH_2017__355_4_400_0
Cardona, Duván; Ruzhansky, Michael. Multipliers for Besov spaces on graded Lie groups. Comptes Rendus. Mathématique, Tome 355 (2017) no. 4, pp. 400-405. doi : 10.1016/j.crma.2017.02.015. http://www.numdam.org/articles/10.1016/j.crma.2017.02.015/
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