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 -
