论文标题
整体操作员的换向器，在orlicz-morrey空间上具有功能的功能
Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces
论文作者
论文摘要
我们考虑换向器$ [b，t] $和$ [b，i_ρ] $上的orlicz-morrey空间，其中$ t $是calderón-zygmund运营商，$ i_p $是一般的分数集成运算符，$ b $是通用campanato空间中的功能。我们为换向器在Orlicz-Morrey空间上的界限提供了必要的条件。为此，我们证明了Orlicz-Morrey空间上广义分数最大运算符的界限。此外，我们引入了Orlicz-campanato空间，并建立了与Orlicz-Morrey空间的关系。
We consider the commutators $[b,T]$ and $[b,I_ρ]$ on Orlicz-Morrey spaces, where $T$ is a Calderón-Zygmund operator, $I_ρ$ is a generalized fractional integral operator and $b$ is a function in generalized Campanato spaces. We give a necessary and sufficient condition for the boundedness of the commutators on Orlicz-Morrey spaces. To do this we prove the boundedness of generalized fractional maximal operators on Orlicz-Morrey spaces. Moreover, we introduce Orlicz-Campanato spaces and establish their relations to Orlicz-Morrey spaces.
