Bochner-Riesz算子极大交换子在Morrey型空间的有界性

The Boundedness of the Maximal Commutators on Morrey Space of Bocher-Riesz Operator

根据Morrey空间的性质,利用二进分解法研究了极大Bochner-Riesz算子极大交换子Bδb,*在Lp,λ(Rn)空间上的有界性,并证明了Bbδ,*是Lp,φ(Rn)上的有界算子.将Bbδ,*的Lp有界性本质性地推广到Morrey空间上.

According to the properties of Morrey space,it is proved by the way of dyaclic decomposition that the maximal Bocher-Riesz commutators Bbδ,＊ is boundedness on Lp,λ（Rn） space.And it is also showed that Bbδ,＊ is a boundedness operator on the space of Lp,φ（Rn）.The Lp（Rn）-boundedness of Bbδ,＊ is essentially extended to the Morrey space.