Non-collapsing condition and Sobolev embeddings for Hajłasz-Besov spaces
In this paper we will focus on understanding the relationship between Sobolev embedding theorems for Hajłasz-Besov spaces defined on a doubling metric measure space (Ω,d,μ) and the non-collapsing condition of the measure, i.e. (Formula presented.) We will also obtain embedding results for Hajłasz-Be...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2025 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:310502 |
| Acesso em linha: | https://ddd.uab.cat/record/310502 https://dx.doi.org/urn:doi:10.1007/s11117-025-01115-1 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Sobolev inequality Fractional Hajłasz-Sobolev spaces Hajłasz-Besov spaces Metric measure spaces Rearrangement invariant spaces Interpolation |
| Resumo: | In this paper we will focus on understanding the relationship between Sobolev embedding theorems for Hajłasz-Besov spaces defined on a doubling metric measure space (Ω,d,μ) and the non-collapsing condition of the measure, i.e. (Formula presented.) We will also obtain embedding results for Hajłasz-Besov spaces whose modulus of smoothness is generated by a rearrangement invariant quasi-norm. |
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