论文标题
$ l_p \ rightarrow l_q $傅立叶乘数的界限
$L_p\rightarrow L_q$ boundedness of Fourier multipliers
论文作者
论文摘要
我们研究了傅立叶乘数的$ l_p \ mapsto l_q $。我们获得了足够的条件，即，我们得出了荷尔曼德和lizorkin型定理。我们还获得了必要的条件。对于$ M $循环的单调函数，我们获得了相应傅立叶乘数有限性的标准。
We investigate the $L_p \mapsto L_q$ boundedness of the Fourier multipliers. We obtain sufficient conditions, namely, we derive Hormander and Lizorkin type theorems. We also obtain the necessary conditions. For $M$-generalized monotone functions, we obtain a criteria for boundedness of the corresponding Fourier multipliers.
