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arXiv · 2504.02434

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

Joaquim Martin·Walter A. Ortiz
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Abstract

An $RD$ space is a doubling measure metric space $\Omega$ 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 $\Omega$ and extend several results from classical theory, such as embeddings and Sobolev-type embeddings.

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Joaquim Martin, Walter A. Ortiz. 2025-04-03. Generalised Haj{\l}asz-Besov spaces on $RD$-spaces. https://arxiv.org/abs/2504.02434

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