摘要
Let n≥3, ∑n-2 be an unit sphere in R^(n-1), Ω satisfy the cancellation property and homogeneity of degree zero, moreover, Ω∈L(log^+L)~σ(∑n-2) (a=1, 3/2). In this paper, we research the L^p-boundedness (1<p<∞) of the following operators along some surfaces (t, Г(|t|)) (t∈R^(n-1), |t| is the length of t): and the relative maximal operators. Where b∈L~∞ (R^(n-1)) is radial,x∈ R^(n-1) and x_n∈R. Our results contain and improve the corresponding ones of L. K. Chen.
基金
国家自然科学基金
