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

[11] ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRODINGER OPERATORS ON THE HEISENBERG GROUPS [J].

Jiang Yinsheng .

ACTA MATHEMATICA SCIENTIA, 2011, 31 (03) :993-1000

[12]

Kutateladze S., 1996, TEXTS MATH SCI, V12

[13]

Li PT, 2012, ACTA MATH SCI, V32, P568

[14]

Li PT, 2012, PURE APPL MATH Q, V8, P713

[15] ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHRODINGER OPERATORS [J].

Li, Pengtao ;

Peng, Lizhong .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 82 (03) :367-389

[16]

Lin C. H., ARXIV11064960MATHAP

[17] COMPACTNESS FOR HIGHER ORDER COMMUTATORS OF OSCILLATORY SINGULAR INTEGRAL OPERATORS [J].

Liu, Heping ;

Tang, Lin .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2009, 20 (09) :1137-1146

[18] The weighted estimates for the operators Vα(-ΔG + V)-β and VαdelG(-ΔG + V)-β on the stratified Lie group G [J].

Liu, Yu .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 349 (01) :235-244

[19] Commutators of Calderon-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrodinger operators [J].

Liu Yu ;

Huang JiZheng ;

Dong JianFeng .

SCIENCE CHINA-MATHEMATICS, 2013, 56 (09) :1895-1913

[20] Commutators of Higher Order Riesz Transform Associated with Schrodinger Operators [J].

Liu, Yu ;

Wang, Lijuan ;

Dong, Jianfeng .

JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,

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