摘要
设Ｇ是具有正则Ｂｏｒｅｌ测度μ的局部紧Ｈａｕｓｄｏｒｆｆ空间，Ｘ是一Ｂａｎａｃｈ空间，γ记非紧测度．对于一定的函数族建立包含积分的某些不等式。
Let.G be a locally compact Hausdorff space with a regular Borel measure μ,and X a Ba-nach space. Let γ denote the Kuratowski measure or ball measure of noncompactness.In-equalities containing integrals of the form γ(F(t)) dμ(t),where satis-fies certain conditions have been developed.Some examples are given to illustrate the appli-cation of the results in the study of certain nonlinearintegral operators and compactness cri-teria in the function space over a locally compact Abel group.
出处
《华中理工大学学报》
CSCD
北大核心
1995年第A01期94-99,共6页
Journal of Huazhong University of Science and Technology
关键词
非紧测度
积分不等式
积分算子
局部紧
measure of noncompactness
inetegral inequality
integral operator
compact-ness criterion
