论文标题
关于硬木和球形最大功能之间的家庭
On Families between the Hardy-Littlewood and Spherical maximal functions
论文作者
论文摘要
我们研究了一个最大运算符家族，该家族提供了连续的链接，该连续链接连接了耐铁的小木最大功能与球形最大函数。我们的定理在多线性设置中得到了证明，但即使在线性情况下也可能包含新的结果。对于这个运营商家族，我们在最佳指数范围内获得了Lebesgue空间之间的界限。
We study a family of maximal operators that provides a continuous link connecting the Hardy-Littlewood maximal function to the spherical maximal function. Our theorems are proved in the multilinear setting but may contain new results even in the linear case. For this family of operators we obtain bounds between Lebesgue spaces in the optimal range of exponents.
