具有非光滑核的奇异积分算子的合成
The composition of singular integral operators with nonsmooth kernels
摘要：
设$T_1$，$T_2$是Duong和McIntosh引入的两个具有非光滑核的奇异积分算子.通过建立某种双次线性稀疏控制，得到了合成算子$T_1T_2$的$L^p(\mathbb{R}^n,\,w)$与$p\in(1,\,\infty)$和$w\in A_p(\mathbb{R}^n)$的一些定量界.并给出了一些加权弱型端点估计。
英文摘要：
Let $T_1$, $T_2$ be two singular integral operators with nonsmooth kernels introduced by Duong and McIntosh. In this paper, by establishing certain bi-sublinear sparse domination, the authors obtain some quantitative bounds on $L^p(\mathbb{R}^n,\,w)$ with $p\in(1,\,\infty)$ and $w\in A_p(\mathbb{R}^n)$ for the composite operator $T_1T_2$. Some weighted weak type endpoint estimates are also given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
