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http://hdl.handle.net/10773/15559
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DC Field | Value | Language |
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dc.contributor.author | Caetano, António | pt |
dc.contributor.author | Haroske, Dorothee | pt |
dc.date.accessioned | 2016-05-05T09:44:04Z | - |
dc.date.available | 2016-05-05T09:44:04Z | - |
dc.date.issued | 2015 | - |
dc.identifier.issn | 0039-3223 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15559 | - |
dc.description.abstract | We study the existence of traces of Besov spaces on fractal h-sets Γ with a special focus on assumptions necessary for this existence; in other words, we present criteria for the non-existence of traces. In that sense our paper can be regarded as an extension of Bricchi (2004) and a continuation of Caetano (2013). Closely connected with the problem of existence of traces is the notion of dichotomy in function spaces: We can prove that—depending on the function space and the set Γ —there occurs an alternative: either the trace on Γ exists, or smooth functions compactly supported outside Γ are dense in the space. This notion was introduced by Triebel (2008) for the special case of d-sets. | pt |
dc.language.iso | eng | pt |
dc.publisher | Institute of Mathematics of the Polish Academy of Sciences | pt |
dc.relation | FCT - UID/MAT/04106/2013 | pt |
dc.relation | FCT - PEst-OE/MAT/UI4106/2014 | pt |
dc.relation | FCT - PEst-C/MAT/UI4106/2011 | pt |
dc.relation | COMPETE - FCOMP - 01-0124-FEDER-022690 | pt |
dc.relation | DFG Heisenberg fellowship HA 2794/1-2 | pt |
dc.rights | openAccess | por |
dc.subject | Fractal h-sets | pt |
dc.subject | Traces | pt |
dc.subject | Besov spaces of generalised smoothness | pt |
dc.subject | Density of test functions | pt |
dc.subject | Dichotomy | pt |
dc.title | Traces for Besov spaces on fractal h-sets and dichotomy results | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 117 | pt |
degois.publication.issue | 2 | pt |
degois.publication.lastPage | 147 | pt |
degois.publication.title | Studia Mathematica | pt |
degois.publication.volume | 231 | pt |
dc.identifier.doi | 10.4064/sm8171-1-2016 | pt |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CaHa_arXiv_v2.pdf | Documento principal | 522.43 kB | Adobe PDF | View/Open |
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