Complex Interpolation and the Adams Theorem
Complex Interpolation and the Adams Theorem
复制标题
复数插值和亚当斯定理
DOI：
10.1007/s11118-020-09827-7
复制
发表时间：
2020
影响因子：
1.1
通讯作者：
Sugano Satoko
中科院分区：
文献类型：
--
作者：
Sawano Yoshihiro;Sugano Satoko
近年来，许多研究者对Morrey空间的复插值的描述进行了研究.其中，Morrey空间的第二个复插值原来是Morrey空间的Calderón产品。作为这一事实的应用，本文提出了一个改进的亚当斯定理，该定理断言分数次积分算子将Morrey空间映射到其它Morrey空间。
Recently, many researchers investigated the description of the complex interpolation of Morrey spaces. Among others, the second complex interpolation of Morrey spaces turned out to be the Calderón product of Morrey spaces. In this paper as an application of this fact, we propose an improvement of the Adams theorem asserting that the fractional integral operator maps Morrey spaces to other Morrey spaces.