Optimal Embeddings of Campanato and Morrey Spaces

Abstract

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.

arXiv commentSent to a journal on 2025-10-01