Norms of harmonic projection operators on compact Lie groups
type: Item
instance of: scholarly article
title: Norms of harmonic projection operators on compact Lie groups
zbMATH Open document ID: 0617.43004
DOI: 10.1007/BF01474178
author: Ermanno Giacalone
author: Fulvio Ricci
published in: Mathematische Annalen
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164348
review text: We give sharp estimates for the growth of the norms of the projection operators \(H_{\lambda}f=f*d_{\lambda}\chi _{\lambda}\), as operators from \(L^ p(G)\) to \(L^ 2(G)\), where G is a compact Lie group and \(1\leq p\leq 2\). These estimates are uniform for those weights \(\lambda\) such that \(\lambda +\rho\) lies in a proper subcone of the positive Weyl chamber.
Mathematics Subject Classification ID: 43A77
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 43A22
Mathematics Subject Classification ID: 43A15
zbMATH DE Number: 4000683
zbMATH Keywords: norms of harmonic projection operators
zbMATH Keywords: compact Lie group
zbMATH Keywords: weights
zbMATH Keywords: positive Weyl chamber
Wikidata QID: Q115393396
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4000683