Weighted estimates for integral operators on local BMO type spaces

被引:8
作者
Ferreyra, Elida V. [1 ]
Flores, Guillermo J.
机构
[1] Univ Nacl Cordoba, FAMAF, RA-5000 Cordoba, Argentina
关键词
BMO spaces; weighted inequalities; integral operators; 42B25; 42B35; 30H35;
D O I
10.1002/mana.201400121
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove the weighted boundedness for a family of integral operators T on Lebesgue spaces and local BMO type spaces. To this end we show that T can be controlled by the Calderon operator and a local maximal operator. This approach allows us to characterize the power weighted boundedness on Lebesgue spaces.
引用
收藏
页码:905 / 916
页数:12
相关论文
共 8 条
[1]  
Ruiz AC, 2011, REV UNION MAT ARGENT, V52, P47
[2]   Calderon Weights as Muckenhoupt Weights [J].
Duoandikoetxea, Javier ;
Martin-Reyes, Francisco J. ;
Ombrosi, Sheldy .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2013, 62 (03) :891-910
[3]  
Godoy T., 1993, Rev. Un. Mat. Argentina, V38, P192
[4]   BMO spaces related to Laguerre semigroups [J].
Harboure, Eleonor ;
Chicco Ruiz, Anibal .
MATHEMATISCHE NACHRICHTEN, 2014, 287 (2-3) :254-280
[5]   Local Hardy-Littlewood maximal operator [J].
Lin, Chin-Cheng ;
Stempak, Krzysztof .
MATHEMATISCHE ANNALEN, 2010, 348 (04) :797-813
[6]   2-PARAMETER MAXIMAL FUNCTIONS IN THE HEISENBERG-GROUP [J].
RICCI, F ;
SJOGREN, P .
MATHEMATISCHE ZEITSCHRIFT, 1988, 199 (04) :565-575
[7]   On the H p -L q boundedness of some fractional integral operators [J].
Rocha, P. ;
Urciuolo, M. .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (03) :625-635
[8]   Weighted Inequalities for Fractional Type Operators with Some Homogeneous Kernels [J].
Silvina Riveros, Maria ;
Urciuolo, Marta .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (03) :449-460