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Generalised Hajłasz-Besov spaces on RD-spaces

2025/04/03 by Martin, Joaquim, Ortiz, Walter A.
#46E30 #46E35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2504.02434

Abstract

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

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