论文标题
多线性奇异积分与均质内核接近$ l^1 $
Multilinear singular integrals with homogeneous kernels near $L^1$
论文作者
论文摘要
我们获得$ l^{p_1}（\ Mathbb r^n）\ times \ cdots \ cdots \ times l^{p_m}（\ Mathbb r^n）\ to l^p（\ mathbb r^n）$用于多线性singular Singular singular singular singular singular Option符合同型形式的表单的均值的近似kernels kernels of grom of grounseke $ω（\ frac {y} {| y |}）| y |^{ - mn} $，其中$ω$是$ l^{q}中的函数（\ Mathbb s^{Mn-1}）$，带有消失的积分和$ q> 1 $。
We obtain the optimal open range of $L^{p_1}(\mathbb R^n)\times\cdots\times L^{p_m}(\mathbb R^n)\to L^p(\mathbb R^n)$ bounds for multilinear singular integral operators with homogeneous kernels of the form $Ω(\frac{y}{|y|})|y|^{-mn}$, where $Ω$ is a function in $L^{q}(\mathbb S^{mn-1})$ with vanishing integral and $q>1$.
