DMCA
NON-CONFORMAL LOEWNER TYPE ESTIMATES FOR MODULUS OF CURVE FAMILIES
by
Annales Academiæ
,
Scientiarum Fennicæ
,
Tomasz Adamowicz
,
Nageswari Shanmugalingam
BibTeX
@MISC{Academiæ_non-conformalloewner,
author = {Annales Academiæ and Scientiarum Fennicæ and Tomasz Adamowicz and Nageswari Shanmugalingam},
title = {NON-CONFORMAL LOEWNER TYPE ESTIMATES FOR MODULUS OF CURVE FAMILIES},
year = {}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract. We develop various upper and lower estimates for p-modulus of curve families on ring domains in the setting of abstract metric measure spaces and derive p-Loewner type estimates for continua. These estimates are obtained for doubling metric measure spaces or Q-Ahlfors regular metric measure spaces supporting (1, p)-Poincaré inequality for the situations of 1 ≤ p ≤ Q and p> Q. We also study p-modulus estimates with respect to Riesz potentials. 1. Introduction and
