A note on maximal commutators and commutators of maximal functions

被引:60
作者
Agcayazi, Mujdat [1 ]
Gogatishvili, Amiran [2 ]
Koca, Kerim [1 ]
Mustafayev, Rza [1 ]
机构
[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey
[2] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic
关键词
maximal operator; commutator; BMO; WEIGHTED NORM INEQUALITIES; SPACES; BMO;
D O I
10.2969/jmsj/06720581
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper maximal commutators and commutators of maximal functions with functions of bounded mean oscillation are investigated. New pointwise estimates for these operators are proved.
引用
收藏
页码:581 / 593
页数:13
相关论文
共 20 条
[1]   An end point estimate for maximal commutators [J].
Alphonse, AM .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2000, 6 (04) :449-456
[2]   Commutators for the maximal and sharp functions [J].
Bastero, J ;
Milman, M ;
Ruiz, FJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (11) :3329-3334
[3]  
Bennett C., 1979, PROC SYMPOS PURE MAT, V35, P201
[4]  
Bennett C., 1988, Pure and Applied Mathematics, V129
[5]  
Bennett V., 1978, P S PURE MATH
[6]   On the product of functions in BMO and H1 [J].
Bonami, Aline ;
Iwaniec, Tadeusz ;
Jones, Peter ;
Zinsmeister, Michel .
ANNALES DE L INSTITUT FOURIER, 2007, 57 (05) :1405-1439
[7]   FACTORIZATION THEOREMS FOR HARDY SPACES IN SEVERAL VARIABLES [J].
COIFMAN, RR ;
ROCHBERG, R ;
WEISS, G .
ANNALS OF MATHEMATICS, 1976, 103 (03) :611-635
[8]   WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF STRONGLY SINGULAR-INTEGRALS [J].
GARCIACUERVA, J ;
HARBOURE, E ;
SEGOVIA, C ;
TORREA, JL .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1991, 40 (04) :1397-1420
[9]  
GARCIACUERVA J, 1985, N HOLLAND MATH STUD, V116
[10]  
Grafakos L, 2008, GRAD TEXTS MATH, V249, P1, DOI 10.1007/978-0-387-09432-8_1