Carleson measures and the boundedness of singular integral operators on Q-type spaces related to weights

被引:3
|
作者
Chen, Xuan [1 ]
Li, Pengtao [2 ]
Lou, Zengjian [3 ]
机构
[1] Macau Univ Sci & Technol, Fac Informat Technol, Taipa 999078, Macao, Peoples R China
[2] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Shandong, Peoples R China
[3] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
Q(K)(p) spaces; Carleson measures; Singular integral operators;
D O I
10.1007/s43034-021-00157-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, by the aid of the Poisson integral, we establish a Carleson type characterization of Q type spaces Q(K)(p)(R-n) (n >= 1) with weight K. As an application, we prove that convolution singular integral operators are bounded on Q(K)(p)(R-n) for n >= 2.
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页数:32
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