RESEARCH ANNOUNCEMENTS Rough Marcinkiewicz Integrals With L(log~+ L)~2 Kernels on Product Spaces
陈杰诚, 范大山, 应益明 · 数学进展 · 2001
Let RN (N 2, N = n or m) be the N-dimensional Euclidean space and SN-1 be the unitsphere in RN. For nonzero point x RN, we denote x’ = x/ |x|. E. M. Stein[12] defined a highdimensional analogue of the Marcinkiewicz integral on Rn by (f)(x)= (R|Fs(x)|2ds)1/2,where Fs(x) =dv, is a homogeneous function