Campanato和Morrey空间的最优嵌入
Optimal Embeddings of Campanato and Morrey Spaces
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中文总结 AI 辅助
本文研究度量测度空间上Campanato与Morrey空间和Hölder空间的关系,证明嵌入等价于测度下界,并给出示例。
中文摘要 AI 辅助
我们研究了度量测度空间上的Campanato和Morrey空间,并建立了它们与Hölder空间的关系。特别地,我们证明了Campanato空间嵌入到Hölder空间等价于底层测度存在下界。提供了若干例子来说明这些结果。
英文摘要
We investigate Campanato and Morrey spaces on metric-measure spaces and establish their relationships with Hölder spaces. In particular, we show that the embedding of a Campanato space into a Hölder space is equivalent to the existence of a lower bound for the underlying measure. Several examples are provided to illustrate the results.