Endpoint estimates for commutators of Calderón-Zygmund type operators
type: Item
instance of: scholarly article
title: Endpoint estimates for commutators of Calderón-Zygmund type operators
zbMATH Open document ID: 1003.42010
published in: Kodai Mathematical Journal
publication date: 2002-08-18T00:00:00Z
review text: Let \(T\) be a special Calderón-Zygmund operator of \(\theta\) type introduced by \textit{K. Yabuta} in [Stud. Math. 82, 17-31 (1985; Zbl 0585.42012)] and \(b\) be a BMO function. In this paper, the authors establish some endpoint estimates for the commutator, \([b, T]=bT-Tb\). These estimates include the weak type \(L\log L\) estimate, the weak type \((H^1, L^1)\) estimate and some estimates in the Hardy type spaces associated with \(b\).
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 1782970
zbMATH Keywords: Calderón-Zygmund type operator
zbMATH Keywords: commutator
zbMATH Keywords: Hardy type space
zbMATH Keywords: BMO
author: Zongguang Liu
author: Shanzhen Lu
reviewed by: Dachun Yang
MaRDI profile type: Publication
OpenAlex ID: W2084937476
DOI: 10.2996/KMJ/1106171078
description: scientific article; zbMATH DE number 1782970