Central Fourier analysis for Lorentz spaces on compact Lie groups
type: Item
instance of: scholarly article
title: Central Fourier analysis for Lorentz spaces on compact Lie groups
zbMATH Open document ID: 0679.43005
DOI: 10.1007/BF01300344
author: Saverio Giulini
author: Giancarlo Travaglini
published in: Monatshefte für Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178422
review text: We determine the critical indexes for the \(L^{p,q}\) uniform boundedness of the characters of a compact connected semisimple Lie group. These results show a basic difference between the simple and the semisimple case, a situation which does not appear when dealing with \(L^ p\) spaces. We provide applications to the general theory of central functions on compact Lie groups.
Mathematics Subject Classification ID: 43A15
Mathematics Subject Classification ID: 43A40
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 4113235
zbMATH Keywords: critical indexes
zbMATH Keywords: uniform boundedness
zbMATH Keywords: characters
zbMATH Keywords: compact connected semisimple Lie group
zbMATH Keywords: central functions on compact Lie groups
Wikidata QID: Q115393730
MaRDI profile type: Publication
cites work: Lacunary Fourier series on compact Lie groups
cites work: Localisation des sommes de Riesz sur un groupe de Lie compact
cites work: Q3802101
cites work: Norms of characters and lacunarity for compact Lie groups
cites work: Q3697574
cites work: Norms of harmonic projection operators on compact Lie groups
cites work: Norms of characters and Fourier series on compact Lie groups
cites work: Q5615626
cites work: Polyhedral Summability of Fourier Series on Compact Lie Groups
cites work: Q5640160
cites work: Q4146925
description: scientific article; zbMATH DE number 4113235