Extension of Lipschitz Functions Defined on Metric Subspaces of Homogeneous Type

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dc.creatorBrudnyi, A.
dc.creatorBrudnyi, Yu.
dc.date2006-09-19
dc.date.accessioned2026-07-07T07:24:58Z
dc.date.available2026-07-07T07:24:58Z
dc.descriptionIf a metric subspace $M^{o}$ of an arbitrary metric space $M$ carries a doubling measure $μ$, then there is a simultaneous linear extension of all Lipschitz functions on $M^{o}$ ranged in a Banach space to those on $M$. Moreover, the norm of this linear operator is controlled by logarithm of the doubling constant of $μ$.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0609535
dc.identifierhttp://arxiv.org/abs/math/0609535
dc.identifierRev. Mat. Complut., 19 (2006), no. 2, 347-359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116571
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.subjectPrimary 26B35, Secondary 54E35, 46B15
dc.titleExtension of Lipschitz Functions Defined on Metric Subspaces of Homogeneous Type
dc.typetext

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