Tan, Chaoqiang Singular integral operators between the classical type and the product type. (Chinese. English summary) Zbl 1274.42035 Acta Sci. Nat. Univ. Sunyatseni 51, No. 5, 58-62 (2012). Summary: A class of singular integral operators is introduced which can be seen as the middle class between the classical single-parameter singular integral operators and the multi-parameter product singular integral operators. The \(L^p\) (\(p>1\)) boundedness for these operators is obtained, where the \(L^2\) boundedness of these operators is obtained by the method of Fourier transform and integration by part and the \(L^p\) (\(p>1\)) boundedness is obtained by the classical method of Littlewood-Paley-Stein theory. Cited in 1 Document MSC: 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) Keywords:Fourier analysis; singular integral operator PDFBibTeX XMLCite \textit{C. Tan}, Acta Sci. Nat. Univ. Sunyatseni 51, No. 5, 58--62 (2012; Zbl 1274.42035)