Riesz potentials in Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
type: Item
instance of: scholarly article
title: Riesz potentials in Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
zbMATH Open document ID: 1016.43008
DOI: 10.1023/A:1023217617339
published in: Potential Analysis
publication date: 2003-06-09T00:00:00Z
review text: By using the discrete Calderón reproducing formulas, the author first establishes the boundedness of the Riesz-potential-type operator in homogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type. Then, by use of the T1 theorems for these spaces, the author proves that this operator of Riesz potential type can be used as the lifting operator of these spaces.
reviewed by: Richard A. Zalik
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 31B10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1925053
zbMATH Keywords: space of homogeneous type
zbMATH Keywords: Riesz potential
zbMATH Keywords: Besov space
zbMATH Keywords: Triebel-Lizorkin space
author: Dachun Yang
MaRDI profile type: Publication
full work available at URL: a:1023217617339
OpenAlex ID: W66971610
description: scientific article; zbMATH DE number 1925053