论文标题
对奇异整体操作员的终点估算，带有粗糙内核
An endpoint estimate for the commutators of singular integral operators with rough kernels
论文作者
论文摘要
令$ω$表示为零的均值，并且单位球的平均值为零，$ {s}^{d-1} $，$t_Ω$是具有内核$ \ frac {ω（ω（x）} {| x | x | x |^d} $和$ t_ $ t_ $ the $ be的同质单数积分运算符，$ \ frac {ω（x）} In this paper, we prove that if $Ω\in L(\log L)^2(S^{d-1})$, then for $b\in {\rm BMO}(\mathbb{R}^d)$, $T_{Ω,\,b}$ satisfies an endpoint estimate of $L\log L$ type.
Let $Ω$ be homogeneous of degree zero and have mean value zero on the unit sphere ${S}^{d-1}$, $T_Ω$ be the homogeneous singular integral operator with kernel $\frac{Ω(x)}{|x|^d}$ and $T_{Ω,\,b}$ be the commutator of $T_Ω$ with symbol $b$. In this paper, we prove that if $Ω\in L(\log L)^2(S^{d-1})$, then for $b\in {\rm BMO}(\mathbb{R}^d)$, $T_{Ω,\,b}$ satisfies an endpoint estimate of $L\log L$ type.
