@prefix vivo: .
@prefix edm: .
@prefix dcterms: .
@prefix dc: .
@prefix skos: .
@prefix ns0: .
vivo:departmentOrSchool "Non UBC"@en ;
edm:dataProvider "DSpace"@en ;
dcterms:creator "Shvartsman, Pavel"@en ;
dcterms:issued "2014-08-06T22:58:18Z"@en, "2013-04-24"@en ;
dcterms:description """Let E be a closed subset of Rn of positive Lebesgue measure. We discuss a constructive algorithm which to every function f defined on E assigns its almostoptimalextensiontoafunctionF(f)âˆˆBMO(Rn). Weobtaintheextension F(f) as a fixed point of a certain contractive mapping Tf : L2(Rn) â†’ L2(Rn).
The extension operator f â†’ F(f) is non-linear, and in general it is not known whether there exists a continuous linear extension operator
BMO(Rn)|E â†’ BMO(Rn)
for an arbitrary set E.
In these talk we present a rather wide family of sets for which such extension op-
erators exist. In particular, this family contains closures of domains with arbitrary internal and external cusps. The proof of this result is based on a solution to a similar problem for spaces of Lipschitz functions defined on subsets of a hyperbolic space."""@en ;
edm:aggregatedCHO "https://circle.library.ubc.ca/rest/handle/2429/49265?expand=metadata"@en ;
dcterms:extent "45 minutes"@en ;
dc:format "video/mp4"@en ;
skos:note ""@en, "Author affiliation: Technion"@en ;
edm:isShownAt "10.14288/1.0056642"@en ;
dcterms:language "eng"@en ;
ns0:peerReviewStatus "Unreviewed"@en ;
edm:provider "Vancouver : University of British Columbia Library"@en ;
dcterms:publisher "Banff International Research Station for Mathematical Innovation and Discovery"@en ;
dcterms:rights "Attribution-NonCommercial-NoDerivs 2.5 Canada"@en ;
ns0:rightsURI "http://creativecommons.org/licenses/by-nc-nd/2.5/ca/"@en ;
ns0:scholarLevel "Faculty"@en ;
dcterms:isPartOf "BIRS Workshop Lecture Videos (Banff, Alta)"@en ;
dcterms:subject "Mathematics"@en, "Functional analysis"@en, "Real functions"@en ;
dcterms:title "Extensions of BMO-functions and fixed points of contractive mappings in L2, II"@en ;
dcterms:type "Moving Image"@en ;
ns0:identifierURI "http://hdl.handle.net/2429/49265"@en .