Quasiadditivity of Variational Capacity
Lehrbäck, J., & Shanmugalingam, N. (2014). Quasiadditivity of Variational Capacity. Potential Analysis, 40(3), 247-265. https://doi.org/10.1007/s11118-013-9348-7
Published in
Potential AnalysisDate
2014Copyright
© Springer Science+Business Media Dordrecht 2013. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.
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.
Publisher
Springer NetherlandsISSN Search the Publication Forum
0926-2601Keywords
Original source
http://link.springer.com/article/10.1007%2Fs11118-013-9348-7Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/23634257
Metadata
Show full item recordCollections
Related items
Showing items with similar title or keywords.
-
The annular decay property and capacity estimates for thin annuli
Björn, Anders; Björn, Jana; Lehrbäck, Juha (Springer Italia Srl; Universitat de Barcelona, 2017) -
Metrin synty
Nyblom, Jukka (Tieteellisten seurain valtuuskunta, 2020)Kuulin koulupoikana historian tunnilla, että pituusyksikkö metri otettiin käyttöön Ranskan suuren vallankumouksen aikana. Lisäksi sain kuulla, että sen pituudeksi määriteltiin kymmenesmiljoonas osa pohjoisnavan ja ... -
Ability to Measure and Count in Aleksis Kivi’s Seven Brothers
Kukkonen, Tiina Katriina (Tessellations Publishing, 2021)The illiterate brothers’ elementary ability to measure and count fluently is a striking feature in the Finnish author Aleksis Kivi’s Seven Brothers (Seitsemän veljestä, 1870), a novel that was published before the metric ... -
Discrete exterior calculus and higher order Whitney forms
Lohi, Jonni (2019)Partial differential equations describing various phenomena have a natural expression in terms of differential forms. This thesis discusses higher order Whitney forms as approximations for differential forms. We present ... -
Loomis-Whitney inequalities in Heisenberg groups
Fässler, Katrin; Pinamonti, Andrea (Springer Science and Business Media LLC, 2022)This note concerns Loomis–Whitney inequalities in Heisenberg groups Hn: |K|≲∏j=12n|πj(K)|n+1n(2n+1), K⊂Hn. Here πj, j=1,…,2n, are the vertical Heisenberg projections to the hyperplanes {xj=0}, respectively, and |⋅| refers ...