Weighted endpoint estimates for commutators of fractional integrals

被引：0

作者：

D. Cruz-Uribe

A. Fiorenza

机构：

[1] Trinity College,Dept. of Mathematics

[2] Università di Napoli,Dipartimento di Costruzioni e Metodi Matematici in Architettura

[3] Consiglio Nazionale delle Ricerche,Istituto per le Applicazioni del Calcolo “Mauro Picone”—sezione di Napoli

来源：

Czechoslovak Mathematical Journal | 2007年 / 57卷

关键词：

fractional integrals; commutators; BMO; weights; Orlicz spaces; maximal functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Given α, 0 < α < n, and b ∈ BMO, we give sufficient conditions on weights for the commutator of the fractional integral operator, [b, Iα], to satisfy weighted endpoint inequalities on ℝn and on bounded domains. These results extend our earlier work [3], where we considered unweighted inequalities on ℝn.

引用

页码：153 / 160

页数：7

共 50 条

[1] Weighted endpoint estimates for commutators of fractional integrals
Cruz-Uribe, D.
Fiorenza, Hartford A.
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2007, 57 (01) : 153 - 160
[2] Endpoint estimates and weighted norm inequalities for commutators of fractional integrals
Cruz-Uribe, D
Fiorenza, A
[J]. PUBLICACIONS MATEMATIQUES, 2003, 47 (01) : 103 - 131
[3] Weighted endpoint estimates for commutators of Marcinkiewicz integrals
Pu Zhang
[J]. Acta Mathematica Sinica, English Series, 2010, 26 : 1709 - 1722
[4] Weighted Endpoint Estimates for Commutators of Marcinkiewicz Integrals
Pu ZHANG Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2010, 26 (09) : 1709 - 1722
[5] Weighted endpoint estimates for commutators of Marcinkiewicz integrals
Zhang, Pu
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (09) : 1709 - 1722
[6] Sharp weighted endpoint estimates for commutators of singular integrals
Pérez, C
Pradolini, G
[J]. MICHIGAN MATHEMATICAL JOURNAL, 2001, 49 (01) : 23 - 37
[7] Weighted Endpoint Estimates for Multilinear Commutators of Marcinkiewicz Integrals
Wu, Jianglong
Liu, Qingguo
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (03) : 819 - 831
[8] Endpoint estimates for certain commutators of fractional and singular integrals
Lu, SZ
Wu, Q
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (02) : 467 - 477
[9] The Weighted Hp Estimates for Commutators of Fractional Integrals
Han, Yanyan
Wu, Huoxiong
[J]. POTENTIAL ANALYSIS, 2023, 59 (04) : 1827 - 1850
[10] The Weighted Hp Estimates for Commutators of Fractional Integrals
Yanyan Han
Huoxiong Wu
[J]. Potential Analysis, 2023, 59 : 1827 - 1850

← 1 2 3 4 5 →