--- res: bibo_abstract: - In this paper, we consider traces at initial times for functions with mixed time-space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that we can allow general interpolation couples. The abstract results are applied to regularity problems for fractional evolution equations and stochastic evolution equations, where uniform trace estimates on the half-line are shown.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Antonio foaf_name: Agresti, Antonio foaf_surname: Agresti foaf_workInfoHomepage: http://www.librecat.org/personId=673cd0cc-9b9a-11eb-b144-88f30e1fbb72 orcid: 0000-0002-9573-2962 - foaf_Person: foaf_givenName: Nick foaf_name: Lindemulder, Nick foaf_surname: Lindemulder - foaf_Person: foaf_givenName: Mark foaf_name: Veraar, Mark foaf_surname: Veraar bibo_doi: 10.1002/mana.202100192 bibo_issue: '4' bibo_volume: 296 dct_date: 2023^xs_gYear dct_identifier: - UT:000914134900001 dct_isPartOf: - http://id.crossref.org/issn/0025-584X - http://id.crossref.org/issn/1522-2616 dct_language: eng dct_publisher: Wiley@ dct_title: On the trace embedding and its applications to evolution equations@ ...