The Besov capacity in metric spaces

Juho Nuutinen. "The Besov capacity in metric spaces." Annales Polonici Mathematici 117.1 (2016): 59-78. <http://eudml.org/doc/286461>.

@article{JuhoNuutinen2016,
abstract = {We study a capacity theory based on a definition of Hajłasz-Besov functions. We prove several properties of this capacity in the general setting of a metric space equipped with a doubling measure. The main results of the paper are lower bound and upper bound estimates for the capacity in terms of a modified Netrusov-Hausdorff content. Important tools are γ-medians, for which we also prove a new version of a Poincaré type inequality.},
author = {Juho Nuutinen},
journal = {Annales Polonici Mathematici},
keywords = {Besov spaces; capacity; metric spaces},
language = {eng},
number = {1},
pages = {59-78},
title = {The Besov capacity in metric spaces},
url = {http://eudml.org/doc/286461},
volume = {117},
year = {2016},
}

TY - JOUR
AU - Juho Nuutinen
TI - The Besov capacity in metric spaces
JO - Annales Polonici Mathematici
PY - 2016
VL - 117
IS - 1
SP - 59
EP - 78
AB - We study a capacity theory based on a definition of Hajłasz-Besov functions. We prove several properties of this capacity in the general setting of a metric space equipped with a doubling measure. The main results of the paper are lower bound and upper bound estimates for the capacity in terms of a modified Netrusov-Hausdorff content. Important tools are γ-medians, for which we also prove a new version of a Poincaré type inequality.
LA - eng
KW - Besov spaces; capacity; metric spaces
UR - http://eudml.org/doc/286461
ER -