摘要
This paper considers compactness of the commutator[b,I_(α)]i(i=1,2),where I_(α)is a bilinear fractional integral operator,and b is a function in generalized Campanato spaces with variable growth condition.The author gives sufficient conditions for the compactness of[b,I_(α)],(i=1,2)from the product of generalized Morrey spaces to generalized Morrey spaces.
本文研究双线性分数次积分算子与带变量增长条件的广义Campanato空间函数b生成的交换子[b,I_(α)]i(i=1,2)在广义Morrey空间的紧性。给出了[b,I_(α)]i(i=1,2)从广义Morrey空间的乘积空间到广义Morrey空间紧性的充分条件。
作者
KU Fuli
库福立(三明学院信息工程学院,福建三明365004)
基金
Supported by the Key Project of the Education Department of Fujian Province(JZ230054)
the Sanming University's High-Level Talent Introduction Project(23YG09)
the Natural Science Foundation of Fujian Province(2024J01903)。