dc.contributor.author
Domínguez, O.
dc.contributor.author
Tikhonov, S.
dc.date.accessioned
2025-01-07T10:08:28Z
dc.date.available
2025-01-07T10:08:28Z
dc.date.issued
2024-09-25
dc.identifier.uri
http://hdl.handle.net/2072/480000
dc.description.abstract
We introduce truncated Besov and Triebel-Lizorkin function spaces and study their main properties: embeddings, interpolation, duality, lifting, traces. These new scales allow us to improve several known results in functional analysis and PDE's. In particular, we obtain a full solution to the trace/extension problem in the critical case as well as sharp Sobolev-type embeddings with critical smoothness parameters.
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dc.description.sponsorship
This research was partially supported by the AEI grant RYC2022-037402-I, the French National Research Agency (ANR-10-LABX-0070), (ANR-11-IDEX-0007) (O.D.) and by PID2020- 114948GB-I00, 2017 SGR 358, AP 14870758, the CERCA Programme of the Generalitat de Catalunya, and Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) (S.T.).
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dc.format.extent
152 p.
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dc.publisher
American Mathematical Society
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dc.relation.ispartof
Transactions Of The American Mathematical Society
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dc.rights
(c) 2024 The Author(s)
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dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Truncated Smooth Function Spaces
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dc.subject.other
Embeddings
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dc.subject.other
Interpolation
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dc.subject.other
Duality
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dc.subject.other
Lifting property
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dc.subject.other
Traces
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dc.title
Truncated Smooth Function Spaces
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1090/tran/9259
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
