English

Generalised Haj{\l}asz-Besov spaces on $RD$-spaces

Functional Analysis 2025-04-04 v1

Abstract

An RDRD space is a doubling measure metric space Ω\Omega with the additional property that it has a reverse doubling property. In this paper we introduce a new class of Haj{\l}asz-Besov spaces on Ω\Omega and extend several results from classical theory, such as embeddings and Sobolev-type embeddings.

Keywords

Cite

@article{arxiv.2504.02434,
  title  = {Generalised Haj{\l}asz-Besov spaces on $RD$-spaces},
  author = {Joaquim Martin and Walter A. Ortiz},
  journal= {arXiv preprint arXiv:2504.02434},
  year   = {2025}
}