Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/111601
DC Field | Value | Language |
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dc.contributor.author | Haroske, D. D. | - |
dc.contributor.author | Leopold, H.-G. | - |
dc.contributor.author | Moura, Susana D. | - |
dc.contributor.author | Skrzypczak, L. | - |
dc.date.accessioned | 2024-01-08T14:29:25Z | - |
dc.date.available | 2024-01-08T14:29:25Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0133-3852 | pt |
dc.identifier.issn | 1588-273X | pt |
dc.identifier.uri | https://hdl.handle.net/10316/111601 | - |
dc.description.abstract | We study nuclear embeddings for function spaces of generalised smoothness defined on a bounded Lipschitz domain Ω ⊂ Rd. This covers, in particular, the well-known situation for spaces of Besov and Triebel–Lizorkin spaces defined on bounded domains as well as some first results for function spaces of logarithmic smoothness. In addition, we provide some new, more general approach to compact embeddings for such function spaces, which also unifies earlier results in different settings, including also the study of their entropy numbers. Again we rely on suitable wavelet decomposition techniques and the famous Tong result (1969) about nuclear diagonal operators acting in r spaces, which we could recently extend to the vector-valued setting needed here. | pt |
dc.language.iso | eng | pt |
dc.publisher | Akademiai Kiado | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.title | Nuclear and Compact Embeddings in Function Spaces of Generalised Smoothness | pt |
dc.type | article | - |
degois.publication.firstPage | 1007 | pt |
degois.publication.lastPage | 1039 | pt |
degois.publication.issue | 4 | pt |
degois.publication.title | Analysis Mathematica | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1007/s10476-023-0238-y | pt |
degois.publication.volume | 49 | pt |
dc.date.embargo | 2023-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-7211-0474 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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Nuclear-and-Compact-Embeddings-in-Function-Spaces-of-Generalised-SmoothnessAnalysis-Mathematica.pdf | 428.43 kB | Adobe PDF | View/Open |
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