dc.contributor.author
Azzam, J.
dc.contributor.author
Mourgoglou, M.
dc.date.accessioned
2021-03-18T23:58:54Z
dc.date.accessioned
2024-09-19T14:29:04Z
dc.date.available
2021-03-18T23:58:54Z
dc.date.available
2024-09-19T14:29:04Z
dc.date.created
2016-01-01
dc.date.issued
2016-01-01
dc.identifier.uri
http://hdl.handle.net/2072/445792
dc.description.abstract
Garnett, Killip, and Schul have exhibited a doubling measure μ with support equal to Rd that is 1- rectifiable, meaning there are countably many curves Γi of finite length for which μ(Rd\υΓi) = 0. In this note, we characterize when a doubling measure μ with support equal to a connected metric space X has a 1-rectifiable subset of positive measure and show this set coincides up to a set of μ-measure zero with the set of x ∈ X for which lim infr→0 μ(BX (x, r))/r > 0.
eng
dc.format.extent
14 p.
cat
dc.publisher
Mathematical Sciences Publishers
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.title
A characterization of 1-rectifiable doubling measures with connected supports
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.embargo.terms
12 mesos
cat
dc.identifier.doi
10.2140/apde.2016.9.99
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
