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PreprintarXiv licencearXiv

Optimal Embeddings of Campanato and Morrey Spaces

  • Przemysław Górka
  • Zuzanna Stępień
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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.

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Cite

BibTeXRIS
BibTeX
@misc{gorka2026optimal,
  title = {{Optimal Embeddings of Campanato and Morrey Spaces}},
  author = {Przemysław Górka and Zuzanna Stępień},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.04622},
  eprint = {2610.04622},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.04622},
}
RIS
TY  - UNPB
TI  - Optimal Embeddings of Campanato and Morrey Spaces
AU  - Przemysław Górka
AU  - Zuzanna Stępień
PY  - 2026
DA  - 2026/10/03
PB  - arXiv
DO  - 10.48550/arxiv.2610.04622
UR  - https://arxiv.org/abs/2610.04622
AB  - 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.
ER  -