Multilinear Calderón-Zygmund operators on weighted Hardy spaces
Multilinear Calderón-Zygmund operators on weighted Hardy spaces
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DOI：
10.4064/sm199-1-1
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发表时间：
2010
影响因子：
0.8
通讯作者：
Wenjuan Li;Qingying Xue;K. Yabuta
中科院分区：
文献类型：
--
作者：
Wenjuan Li;Qingying Xue;K. Yabuta
格拉法科斯-卡尔顿[收款。数学课。52(2001)]讨论了多线性Calderon-Zygmund算子在Hardy空间乘积上的有界性。然后是勒纳等人。书名：Adv.Math.220(2009)]定义了A~p权，建立了适用于多线性Calderon-Zygmund算子的权理论。结合以上结果，我们得到了加权Hardy空间上多线性Calderon-Zygmund算子的一些估计，并得到了一个关于多线性分数次积分的加权多线性形式的不等式，它与经典的Trudinger不等式有关。
Grafakos–Kalton [Collect. Math. 52 (2001)] discussed the boundedness of multilinear Calderon–Zygmund operators on the product of Hardy spaces. Then Lerner et al. [Adv. Math. 220 (2009)] defined A~ p weights and built a theory of weights adapted to multilinear Calderon–Zygmund operators. In this paper, we combine the above results and obtain some estimates for multilinear Calderon–Zygmund operators on weighted Hardy spaces and also obtain a weighted multilinear version of an inequality for multilinear fractional integrals, which is related to the classical Trudinger inequality.