singular integral operator;
Triebel-Lizorkin space;
product spaces;
42B20;
42B25;
D O I:
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摘要:
In this paper, we consider the rough singular integral operators on product Triebel-Lizorkin spaces and prove certain boundedness properties on the Triebel-Lizorkin spaces. We also use the same method to study the fractional integral operator and the Littlewood-Paley functions. The results extend some known results.
机构:
Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R ChinaShandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
Liu, Feng
Xue, Qingying
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机构:
Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R ChinaShandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China