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Quasiadditivity of Variational Capacity

Authors :
Nageswari Shanmugalingam
Juha Lehrbäck
Source :
Potential Analysis. 40:247-265
Publication Year :
2013
Publisher :
Springer Science and Business Media LLC, 2013.

Abstract

We study the quasiadditivity property (a version of superadditivity with a multiplicative constant) of variational capacity in metric spaces with respect to Whitney type covers. We characterize this property in terms of a Mazya type capacity condition, and also explore the close relation between quasiadditivity and Hardy's inequality.<br />Comment: 15 pages

Details

ISSN :
1572929X and 09262601
Volume :
40
Database :
OpenAIRE
Journal :
Potential Analysis
Accession number :
edsair.doi.dedup.....2e1ebb3b20c51646cc8c7a008f7c1e3d
Full Text :
https://doi.org/10.1007/s11118-013-9348-7