Weighted BMO estimates for singular integrals and endpoint extrapolation in Banach function spaces

被引：2

作者：

Nieraeth, Zoe ^{[1
]}

Rey, Guillermo ^{[2
]}

机构：

[1] BCAM Basque Ctr Appl Math, Bilbao, Spain

[2] Univ Autonoma Madrid, Madrid, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 521卷 / 01期

关键词：

Sparse operators; Muckenhoupt weights; Banach function spaces; Calder?n-Zygmund operators; BMO; Rubio de Francia extrapolation; BOUNDED MEAN-OSCILLATION; NORM INEQUALITIES; THEOREM;

D O I：

10.1016/j.jmaa.2022.126942

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove sharp weighted BMO estimates for singular integrals, and we show how such estimates can be extrapolated to Banach function spaces.(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：18

共 16 条

[1] EXTENSIONS OF THE JOHN-NIRENBERG THEOREM AND APPLICATIONS
Canto, Javier
Perez, Carlos
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (04) : 1507 - 1525
[2] EXTRAPOLATION RESULTS FOR CLASSES OF WEIGHTS
HARBOURE, E
MACIAS, RA
SEGOVIA, C
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1988, 110 (03) : 383 - 397
[3] WEIGHTED NORM INEQUALITIES FOR CONJUGATE FUNCTION AND HILBERT TRANSFORM
HUNT, R
MUCKENHOUPT, B
WHEEDEN, R
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 176 (449) : 227 - 251
[4] The A2 theorem: Remarks and complements
Hytonen, Thomas P.
[J]. HARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS, 2014, 612 : 91 - 106
[5] LOCAL SHARP MAXIMAL FUNCTIONS
JAWERTH, B
TORCHINSKY, A
[J]. JOURNAL OF APPROXIMATION THEORY, 1985, 43 (03) : 231 - 270
[6] Weighted norm inequalities for the local sharp maximal function
Lerner, AK
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2004, 10 (05) : 465 - 474
[7] Intuitive dyadic calculus: The basics
Lerner, Andrei K.
Nazarov, Fedor
[J]. EXPOSITIONES MATHEMATICAE, 2019, 37 (03) : 225 - 265
[8] Some remarks on the Fefferman-Stein inequality
Lerner, Andrei K.
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 2010, 112 : 329 - 349
[9] A pointwise estimate for the local sharp maximal function with applications to singular integrals
Lerner, Andrei K.
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2010, 42 : 843 - 856
[10] Lerner Andrei K., 2003, REAL ANAL EXCH, V28, P649

← 1 2 →