Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.2798
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dc.contributor.authorKruse, Karsten-
dc.date.accessioned2020-06-11T09:45:04Z-
dc.date.available2020-06-11T09:45:04Z-
dc.date.issued2020-05-30-
dc.identifier.citationRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 3 (114): 141 (2020-07-01)de_DE
dc.identifier.issn1579-1505de_DE
dc.identifier.urihttp://hdl.handle.net/11420/6292-
dc.description.abstractLet Ω be an open subset of R2 and E a complete complex locally convex Hausdorff space. The purpose of this paper is to find conditions on certain weighted Fréchet spaces EV(Ω) of smooth functions and on the space E to ensure that the vector-valued Cauchy–Riemann operator ∂¯ : EV(Ω, E) → EV(Ω, E) is surjective. This is done via splitting theory and positive results can be interpreted as parameter dependence of solutions of the Cauchy–Riemann operator.en
dc.language.isoende_DE
dc.publisherSpringerde_DE
dc.relation.ispartofRevista de la Real Academia de Ciencias Exactas, Físicas y Naturalesde_DE
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCauchy–Riemannde_DE
dc.subjectParameter dependencede_DE
dc.subjectSmoothde_DE
dc.subjectSolvabilityde_DE
dc.subjectVector-valuedde_DE
dc.subjectWeightde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleParameter dependence of solutions of the Cauchy–Riemann equation on weighted spaces of smooth functionsde_DE
dc.typeArticlede_DE
dc.identifier.doi10.15480/882.2798-
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.identifier.urnurn:nbn:de:gbv:830-882.093530-
tuhh.oai.showtruede_DE
tuhh.abstract.englishLet Ω be an open subset of R2 and E a complete complex locally convex Hausdorff space. The purpose of this paper is to find conditions on certain weighted Fréchet spaces EV(Ω) of smooth functions and on the space E to ensure that the vector-valued Cauchy–Riemann operator ∂¯ : EV(Ω, E) → EV(Ω, E) is surjective. This is done via splitting theory and positive results can be interpreted as parameter dependence of solutions of the Cauchy–Riemann operator.de_DE
tuhh.publisher.doi10.1007/s13398-020-00863-x-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.identifier.doi10.15480/882.2798-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue3de_DE
tuhh.container.volume114de_DE
dc.relation.projectProjekt DEAL-
dc.rights.nationallicensefalsede_DE
dc.identifier.scopus2-s2.0-85085772829de_DE
tuhh.container.articlenumber141de_DE
local.status.inpressfalsede_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.languageiso639-1en-
item.grantfulltextopen-
item.creatorOrcidKruse, Karsten-
item.mappedtypeArticle-
item.creatorGNDKruse, Karsten-
item.fulltextWith Fulltext-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.cerifentitytypePublications-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1864-4915-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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