Extension of Lipschitz functions defined on metric subspaces of homogeneous type.

Brudnyi, Alexander, and Brudnyi, Yuri. "Extension of Lipschitz functions defined on metric subspaces of homogeneous type.." Revista Matemática Complutense 19.2 (2006): 347-359. <http://eudml.org/doc/41906>.

@article{Brudnyi2006,
abstract = {If a metric subspace Mº of an arbitrary metric space M carries a doubling measure μ, then there is a simultaneous linear extension of all Lipschitz functions on Mº 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.},
author = {Brudnyi, Alexander, Brudnyi, Yuri},
journal = {Revista Matemática Complutense},
keywords = {Funciones de varias variables; Función lipschitziana; Espacios métricos; metric space; doubling measure; linear extension},
language = {eng},
number = {2},
pages = {347-359},
title = {Extension of Lipschitz functions defined on metric subspaces of homogeneous type.},
url = {http://eudml.org/doc/41906},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Brudnyi, Alexander
AU - Brudnyi, Yuri
TI - Extension of Lipschitz functions defined on metric subspaces of homogeneous type.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 2
SP - 347
EP - 359
AB - If a metric subspace Mº of an arbitrary metric space M carries a doubling measure μ, then there is a simultaneous linear extension of all Lipschitz functions on Mº 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.
LA - eng
KW - Funciones de varias variables; Función lipschitziana; Espacios métricos; metric space; doubling measure; linear extension
UR - http://eudml.org/doc/41906
ER -