论文标题
双线性球形最大功能的产品类型
Bilinear spherical maximal functions of product type
论文作者
论文摘要
在本文中，我们介绍并研究了二线性calderón-zygmund理论的产品类型的双线性球形最大功能。该操作员与Geba等人考虑的双线性球形最大功能不同。我们处理该操作员的脱衣舞和完整版本，并且证明了双线性重量的加权估计值。我们的方法涉及莱西（Lacey）的想法之后的稀疏形式，但我们还使用其他技术来处理特定的三胞胎$（2,2,1）$。
In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón-Zygmund theory. This operator is different from the bilinear spherical maximal function considered by Geba et al. We deal with lacunary and full versions of this operator, and we prove weighted estimates with respect to bilinear weights. Our approach involves sparse forms following ideas by Lacey, but we also use other techniques to handle the particular triplet $(2,2,1)$.
