A compactness criterion and application to the commutators associated with Schrodinger operators

被引：8

作者：

Li, Pengtao ^{[1
]}

Mo, Yan ^{[2
]}

Zhang, Chuangyuan ^{[3
]}

机构：

[1] Qingdao Univ, Coll Math, Qingdao 266071, Shandong, Peoples R China

[2] Univ Macau, Dept Math, FST, Macau, Peoples R China

[3] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2015年 / 288卷 / 2-3期

关键词：

Compactness; commutator; Schrodinger operators; VMO; Primary: 42B20; Secondary: 47B47; 42B35; L-P BOUNDEDNESS; RIESZ TRANSFORMS;

D O I：

10.1002/mana.201300286

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be an integral operator. In this paper, we introduce a Lp-compactness criterion of [b,T], where bVMO. As an application, we apply this criterion to deal with Lp-compactness of commutators associated to Schrodinger operators with potentials in the reverse Holder's class. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：235 / 248

页数：14

共 29 条

[1]

[Anonymous], 1982, Mathematical Notes, DOI DOI 10.1515/9780691222455

[2] Weighted inequalities for commutators of Schrodinger-Riesz transforms [J].

Bongioanni, B. ;

Harboure, E. ;

Salinas, O. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 392 (01) :6-22

[3] Commutators of Riesz Transforms Related to Schrodinger Operators [J].

Bongioanni, B. ;

Harboure, E. ;

Salinas, O. .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2011, 17 (01) :115-134

[4]

Bui A., ARXIV12022061MATHCA

[5] Compactness of the commutators of parabolic singular integrals [J].

Chen YanPing ;

Ding Yong .

SCIENCE CHINA-MATHEMATICS, 2010, 53 (10) :2633-2648

[6]

Conway J., 1985, A Course in Functional Analysis

[7] On commutators of fractional integrals [J].

Duong, XT ;

Yan, LX .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (12) :3549-3557

[8] Lp boundedness of commutators of Riesz transforms associated to Schrodinger operator [J].

Guo, Zihua ;

Li, Pengtao ;

Peng, Lizhong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) :421-432

[9] MEAN OSCILLATION AND COMMUTATORS OF SINGULAR INTEGRAL-OPERATORS [J].

JANSON, S .

ARKIV FOR MATEMATIK, 1978, 16 (02) :263-270

[10] PARACOMMUTATORS - BOUNDEDNESS AND SCHATTEN-VONNEUMANN PROPERTIES [J].

JANSON, S ;

PEETRE, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 305 (02) :467-504

← 1 2 3 →