奇异积分和位势积分交换子在极大Morrey空间上的有界性

Boundedness of Commutators of Singular and Potential Operators in Grand Morrey Spaces

设齐次空间(X,ρ,μ)上定义一类极大Morrey空间L^(p),θ,λ)(X,μ).此类极大Morrey空间是经典的Morrey空间和极大Lebesgue空间的推广.本文考虑了C-Z积分算子、位势算子与BMO函数生成的交换子在该类极大Morrey空间上的有界性.事实上,这些结果甚至在一般的欧式空间上也是新颖的.

In the setting of homogeneous space（X,ρ,μ）,it is shown that the commutators of Calderon-Zygumund operator and Potential operator with BMO function are bounded in Grand Morrey space,which contains the grand Lebesgue space and Morrey space.Moreover,all results are new even for Euclidean spaces.