Besov and Triebel-Lizorkin spaces related to singular integrals with flag kernels
type: Item
instance of: scholarly article
title: Besov and Triebel-Lizorkin spaces related to singular integrals with flag kernels
zbMATH Open document ID: 1166.42013
published in: Revista Matemática Complutense
publication date: 2009-04-02T00:00:00Z
full work available at URL: https://eudml.org/doc/42337
review text: Motivated by the work of Nagel, Ricci and Stein, the author introduces Besov and Triebel-Lizorkin spaces associated to singular integrals with flag kernels. Basic properties, including dual spaces, equivalent norm characterizations via Littlewood-Paley functions, lifting properties and some embedding theorems are obtained. Boundedness of singular and fractional integrals in these spaces is studied. The consideration relies on the corresponding anisotropic wavelet transforms and the relevant reproducing formula.
reviewed by: Boris Rubin
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 5538728
zbMATH Keywords: Besov space
zbMATH Keywords: Triebel-Lizorkin space
zbMATH Keywords: flag singular integral
zbMATH Keywords: flag fractional integral
zbMATH Keywords: Littlewood-Paley operator
zbMATH Keywords: dual space
zbMATH Keywords: lifting
zbMATH Keywords: embedding, Calderon reproducing formula
author: Dachun Yang
MaRDI profile type: Publication
Wikidata QID: Q126111943
DOI: 10.5209/REV_REMA.2009.V22.N1.16358
description: scientific article; zbMATH DE number 5538728