Inequalities for discrete Hardy spaces

被引:6
作者
Kanjin, Y
Satake, M
机构
[1] Kanazawa Univ, Dept Math, Kanazawa, Ishikawa 9201192, Japan
[2] Kanazawa Gakuin Coll, Kanazawa, Ishikawa 9201392, Japan
关键词
Molecular Characterization; Hardy Space; Fractional Integral; Multiplier Theorem; Marcinkiewicz Multiplier;
D O I
10.1023/A:1006706304803
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show the molecular characterization of the discrete Hardy spaces and its applications - the molecular characterization proofs of the Marcinkiewicz multiplier theorem and the inequality of fractional integrals for the discrete Hardy spaces.
引用
收藏
页码:301 / 313
页数:13
相关论文
共 17 条
[11]   FRACTIONAL-INTEGRATION ON HARDY-SPACES [J].
KRANTZ, SG .
STUDIA MATHEMATICA, 1982, 73 (02) :87-94
[12]   ON THE THEORY OF HARMONIC FUNCTIONS OF SEVERAL VARIABLES .1. THE THEORY OF HP-SPACES [J].
STEIN, EM ;
WEISS, G .
ACTA MATHEMATICA, 1960, 103 (1-2) :25-62
[13]  
STEIN EM, 1970, SINGULAR INTEGRALS D
[14]  
SUNOUCHI G, 1961, TOHOKU MATH J, V13, P295
[15]  
Taibleson M., 1980, Asterisque, P67
[16]  
Zygmund A., 1968, Trigonometric series, VII
[17]  
Zygmund A., 1968, TRIGONOMETRIC SERIES, VI