Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Górka, Przemysław, Stępień, Zuzanna
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220670318