Liu, Honghai Rough singular integrals supported on submanifolds of finite type. (Chinese. English summary) Zbl 1265.42037 Acta Math. Sin., Chin. Ser. 55, No. 2, 311-320 (2012). Summary: The author considers the mapping properties of rough singular integrals along submanifolds of finite type on some Triebel-Lizorkin spaces and Besov spaces. The \(l^q\)-valued inequality is also established. Cited in 2 Documents MSC: 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B25 Maximal functions, Littlewood-Paley theory Keywords:rough singular integrals; finite type; vector-valued inequality PDF BibTeX XML Cite \textit{H. Liu}, Acta Math. Sin., Chin. Ser. 55, No. 2, 311--320 (2012; Zbl 1265.42037)