Geodesic
Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces
Analysis and Geometry in Metric Spaces, Tome 4 (2016) no. 1.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

Let (Z, d, μ) be a compact, connected, Ahlfors Q-regular metric space with Q > 1. Using a hyperbolic filling of Z,we define the notions of the p-capacity between certain subsets of Z and of theweak covering p-capacity of path families Γ in Z.We show comparability results and quasisymmetric invariance.As an application of our methodswe deduce a result due to Tyson on the geometric quasiconformality of quasisymmetric maps between compact, connected Ahlfors Q-regular metric spaces.
Mots-clés : Weak capacity, weak covering capacity, modulus, quasisymmetry, quasi-isometry, Ahlfors regularmetric space, Gromov hyperbolic metric space, Ahlfors regular conformal dimension 
@article{AGMS_2016_4_1_a4,
     author = {Lindquist, Jeff},
     title = {Weak {Capacity} and {Modulus} {Comparability} in {Ahlfors} {Regular} {Metric} {Spaces}},
     journal = {Analysis and Geometry in Metric Spaces},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2016},
     zbl = {06682298},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a4/}
}
TY  - JOUR
AU  - Lindquist, Jeff
TI  - Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces
JO  - Analysis and Geometry in Metric Spaces
PY  - 2016
VL  - 4
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a4/
LA  - en
ID  - AGMS_2016_4_1_a4
ER  - 
%0 Journal Article
%A Lindquist, Jeff
%T Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces
%J Analysis and Geometry in Metric Spaces
%D 2016
%V 4
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a4/
%G en
%F AGMS_2016_4_1_a4
Lindquist, Jeff. Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces. Analysis and Geometry in Metric Spaces, Tome 4 (2016) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a4/