Rough singular integrals associated to surfaces of revolution期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Rough singular integrals associated to surfaces of revolution

Authors:	Shanzhen Lu Yibiao Pan Dachun Yang

Affiliation:	Department of Mathematics, Beijing Normal University, Beijing 100875, The People's Republic of China ; Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong ; Department of Mathematics, Beijing Normal University, Beijing 100875, The People's Republic of China

Abstract:	Let and . The authors establish the $L^p(mathbb{R}^{n+1})$ -boundedness for a class of singular integral operators associated to surfaces of revolution, ${(t,phi(vert tvert)): tinmathbb{R}^n}$ , with rough kernels, provided that the corresponding maximal function along the plane curve is bounded on $L^p(mathbb{R}^2)$ .

Keywords:	Curve surface of revolution singular integral maximal operator rough kernel Hardy space sphere

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