齐型空间上的广义Morrey空间与广义Campanato空间

Generalized Morrey Space and Generalized Campanato Space on Space of Homogeneous Type

将经典的Lebesgue微分理论推广到齐型空间上,在齐型空间上定义了广义Morrey空间与广义Campanato空间,并研究了齐型空间(X,d,μ)上的广义Morrey空间与可积空间等的关系以及广义Campanato空间与广义Morrey空间和H lder空间的关系.

The paper extends the classical Lebesgue differential theorem to the space of homogeneous type, then gives definition of Generalized Morrey space and Generalized Campanato space on the homogenous space. The studies are conducted on exploring the relationship between Generalized Morrey space, space, generalized Campanato space and Holder space.