Boundedness of parammetric Marcinkiewicz integrals on weighted hardy spaces

被引:0
作者
Shi Xian-liang [1 ]
Sun Jie [1 ]
机构
[1] Hunan Normal Univ, Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
parammetric Marcinkiewicz integral; weight function; weighted Hardy space; weak weighted Hardy space; OPERATORS;
D O I
10.1007/s11766-015-3329-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, several new results on the boundedness of parammetric Marcinkiewicz integrals on the weighted Hardy spaces and the weak weighted Hardy spaces are established.
引用
收藏
页码:253 / 262
页数:10
相关论文
共 13 条
[11]   Remarks on square functions in the Littlewood-Paley theory [J].
Sato, S .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1998, 58 (02) :199-211
[12]  
Stein E., 1958, Trans. Am. Math. Soc, V88, P430, DOI [10.1090/S0002-9947-1958-0112932-2, DOI 10.1090/S0002-9947-1958-0112932-2]
[13]  
Torchinsky A., 1990, COLLOQ MATH-WARSAW, V61-62, P235, DOI [10.4064/cm-60-61-1-235-243, DOI 10.4064/CM-60-61-1-235-243]