ANOTHER PROOF OF CHARACTERIZATION OF BMO VIA BANACH FUNCTION SPACES

被引:0
作者
Izuki, Mitsuo [1 ]
机构
[1] Okayama Univ, Fac Educ, Dept Math Educ, Tsushima Naka 3-1-1, Okayama 7008530, Japan
来源
REVISTA DE LA UNION MATEMATICA ARGENTINA | 2016年 / 57卷 / 01期
关键词
BMO norm; Banach function space; Rubio de Francia algorithm; FACTORIZATION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Our aim is to give a characterization of the BMO norm via Banach function spaces based on the Rubio de Francia algorithm. Our proof is different from the one by Ho [Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces, Anal. Math. 38 (2012), 173-185].
引用
收藏
页码:103 / 109
页数:7
相关论文
共 16 条
[1]  
[Anonymous], 1983, TOPICS MODERN HARMON
[2]  
Bennett C., 1988, Pure and Applied Mathematics, V129
[3]   Greedy bases in variable Lebesgue spaces [J].
Cruz-Uribe, David ;
Hernandez, Eugenio ;
Maria Martell, Jose .
MONATSHEFTE FUR MATHEMATIK, 2016, 179 (03) :355-378
[4]  
DEFRANCIA JLR, 1982, B AM MATH SOC, V7, P393
[5]   FACTORIZATION THEORY AND AP WEIGHTS [J].
DEFRANCIA, JLR .
AMERICAN JOURNAL OF MATHEMATICS, 1984, 106 (03) :533-547
[6]   Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces [J].
Diening, L .
BULLETIN DES SCIENCES MATHEMATIQUES, 2005, 129 (08) :657-700
[7]  
Duoandikoetxea Javier, 2001, GRADUATE STUDIES MAT, V29
[8]  
Grafakos L, 2008, GRAD TEXTS MATH, V249, P1, DOI 10.1007/978-0-387-09432-8_1
[9]  
Ho KP, 2012, ANAL MATH, V38, P173, DOI 10.1007/s10476-012-0302-5
[10]  
Izuki M., 2013, J. Anal. Appl, V11, P27