Definability of singular integral operators on Morrey–Banach spaces
Definability of singular integral operators on Morrey–Banach spaces
复制标题
Morrey-Banach空间上奇异积分算子的可定义性
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
K. Ho
中科院分区：
文献类型：
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作者：
K. Ho
本文给出了Morrey-Banach空间上奇异积分算子的定义，它包括Orlicz-Morrey空间和变指数Morrey空间.本文的主要结果保证了奇异积分算子在Morrey-Banach空间上的良好定义。因此，它为Morrey型空间上奇异积分算子的研究提供了坚实的基础。作为主要结果的应用，我们研究了Morrey-Banach空间上奇异积分算子的扩张子.
We give a definition of singular integral operators on MorreyBanach spaces which include Orlicz-Morrey spaces and Morrey spaces with variable exponents. The main result of this paper ensures that the singular integral operator is well defined on the Morrey-Banach spaces. Therefore, it provides a solid foundation for the study of singular integral operators on Morrey type spaces. As an application of our main result, we study the commutators of singular integral operators on MorreyBanach spaces.