BOUNDEDNESS OF MULTILINEAR COMMUTATORS OF CALDERÓN-ZYGMUND OPERATORS ON ORLICZ SPACES OVER NON-HOMOGENEOUS SPACES
BOUNDEDNESS OF MULTILINEAR COMMUTATORS OF CALDERÓN-ZYGMUND OPERATORS ON ORLICZ SPACES OVER NON-HOMOGENEOUS SPACES
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DOI：
10.11650/tjm.16.2012.2638
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发表时间：
2012-01
影响因子：
0.4
通讯作者：
Xing Fu;Dachun Yang;Wen Yuan
中科院分区：
文献类型：
--
作者：
Xing Fu;Dachun Yang;Wen Yuan
设$（{\mathcal X}，d，\mu）$是同时满足上加倍条件和几何加倍条件的度量测度空间。本文证明了Calderon-Zygmund算子与RBMO（$\mu$）函数的多线性算子在Orlicz空间上，特别是在$L^p（\mu）$上有界，其中$p\in（1，\infty）$.本文还讨论了在Osc_{\exp L^r}$（$\mu$）中Calderon-Zygmund算子的多线性算子与Orlicz型函数的弱型端点估计，其中r\in [1，\infty]$.
Let $({\mathcal X},d,\mu)$ be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions. In this paper, the authors prove that multilinear commutators of Calderon-Zygmund operators with RBMO($\mu$) functions are bounded on Orlicz spaces, especially, on $L^p(\mu)$ with $p\in(1,\infty)$. The weak type endpoint estimate of multilinear commutators of Calder o n-Zygmund operators with Orlicz type functions in $Osc_{\exp L^r}$($\mu$) for $r\in [1,\infty)$ is also presented.