Extrapolation on function and modular spaces, and applications

被引：12

作者：

Cao, Mingming ^{[1
]}

Marin, Juan Jose ^{[1
]}

Martell, Jose Maria ^{[1
]}

机构：

[1] CSIC, Inst Ciencias Matemat CSIC, UAM, UC3M, C Nicolas Cabrera, 13-15, E-28049 Madrid, Spain

来源：

ADVANCES IN MATHEMATICS | 2022年 / 406卷

基金：

欧洲研究理事会;

关键词：

Muckenhoupt weights; Rubio de Francia extrapolation; Banach function spaces; Modular spaces; WEIGHTED NORM INEQUALITIES; BOUNDARY-VALUE-PROBLEMS; ELLIPTIC-OPERATORS; L-P; SCHRODINGER-EQUATIONS; HORMANDERS CONDITIONS; LAYER POTENTIALS; MAXIMAL OPERATOR; SQUARE FUNCTIONS; COMMUTATORS;

D O I：

10.1016/j.aim.2022.108520

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the extrapolation theory of Rubio de Francia to the context of Banach function spaces and modular spaces. Our results are formulated in terms of some natural weighted estimates for the Hardy-Littlewood maximal function and are stated in measure spaces and for general Muckenhoupt bases. Finally, we give several applications in analysis and partial differential equations. (c) 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

引用

页数：87

共 64 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].

AGMON, S ;

DOUGLIS, A ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727

[2] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].

AGMON, S ;

DOUGLIS, A ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) :35-&

[3]

[Anonymous], 2014, Progress in Mathematics

[4]

[Anonymous], 1985, Weighted Norm Inequalities and RelatedTopics

[5] Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part I: General operator theory and weights [J].

Auscher, Pascal ;

Martell, Jose Maria .

ADVANCES IN MATHEMATICS, 2007, 212 (01) :225-276

[6] Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part II: Off-diagonal estimates on spaces of homogeneous type [J].

Auscher, Pascal ;

Martell, Jose Maria .

JOURNAL OF EVOLUTION EQUATIONS, 2007, 7 (02) :265-316

[7]

Auscher P, 2007, MEM AM MATH SOC, V186, pXI

[8] Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part III: Harmonic analysis of elliptic operators [J].

Auscher, Pascal ;

Martell, Jose Maria .

JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 241 (02) :703-746

[9] CONTROL OF PSEUDODIFFERENTIAL OPERATORS BY MAXIMAL FUNCTIONS VIA WEIGHTED INEQUALITIES [J].

Beltran, David .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (05) :3117-3143

[10]

Bennett C, 1988, INTERPOLATION OPERAT

← 1 2 3 4 5 6 7 →