Homogeneous Triebel-Lizorkin spaces on stratified Lie groups
type: Item
instance of: scholarly article
title: Homogeneous Triebel-Lizorkin spaces on stratified Lie groups
zbMATH Open document ID: 1276.46024
DOI: 10.1155/2013/475103
author: Guorong Hu
published in: Journal of Function Spaces and Applications
publication date: 2013-05-29T00:00:00Z
review text: Summary: Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decompositions. It is shown that the scale of these spaces is independent of the choice of Littlewood-Paley-type decompositions and the sub-Laplacian used for the construction of the decomposition. Some basic properties of these spaces are given. As the main result of this paper, the boundedness of a class of singular integral operators on these function spaces is obtained.
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 43A80
zbMATH DE Number: 6167899
zbMATH Keywords: Triebel-Lizorkin spaces
zbMATH Keywords: stratified Lie groups
zbMATH Keywords: Littlewood-Paley-type decomposition
MaRDI profile type: Publication
Wikidata QID: Q59014239
full work available at URL: https://doi.org/10.1155/2013/475103
OpenAlex ID: W2166138996
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description: scientific article; zbMATH DE number 6167899