Multilinear Calderon-Zygmund operators on weighted Hardy spaces

作者：Li, Wenjuan; Xue, Qingying^*; Yabuta, Kozo

来源：Studia Mathematica, 2010, 199(1): 1-16.

DOI：10.4064/sm199-1-1

• multiple weights
• weighted norm inequalities
• multilinear Calderon-Zygmund operators
• weighted Hardy spaces

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) over bar) 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.

• 出版日期2010
• 单位北京师范大学; 北京应用物理与计算数学研究所