Calderón’s First and Second Complex Interpolations of Closed Subspaces of Morrey Spaces
Calderón’s First and Second Complex Interpolations of Closed Subspaces of Morrey Spaces
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DOI：
10.1007/s00041-016-9503-9
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发表时间：
2017-10
影响因子：
1.2
通讯作者：
D. Hakim;Y. Sawano
中科院分区：
文献类型：
--
作者：
D. Hakim;Y. Sawano
本文在文献[11]的基础上，讨论了Morrey空间闭子空间的第一、第二复插值。我们的结果将是足够一般的，因为我们要处理的抽象线性子空间满足格条件。我们还考虑了具有紧支集的光滑函数集在有界域上的Morrey空间中的闭包。在这里，我们不需要域上的光滑条件。
In this paper, we are going to describe the first and second complex interpolations of closed subspaces of Morrey spaces, based on our previous results in [11]. Our results will be general enough because we are going to deal with abstract linear subspaces satisfying the lattice condition only. We also consider the closure in Morrey spaces on bounded domains of the set of smooth functions with compact support. Here, we do not require the smoothness condition on domains.