H^（p，α）空间的Hardy－Littlewood定理

Hardy-Littlewood Theorems on Spaces

本文讨论了与Ｈ￣（ｐ，α）空间有关的乘子问题，得到为Ｈ￣（ｐ，α）到Ｈ￣（ｑ，α）或Ｈ￣（ｐ，α）到ｌ￣ｑ乘子的充分条件．作为应用，证明了一个关于Ｈ￣（ｐ，α）函数的Ｔａｙｌｏｒ系数的猜想．

We discuss both the multipliers and the Taylor coefficients as related to functions. It finds some sufficient conditions for the multipliers of into those of or l￣q. As an application,we get a proof of a conjecture on the Taylor coefficients of functions.