Capacity of shrinking condensers in the plane

We show that the capacity of a class of plane condensers is comparable to the capacity of corresponding “dyadic condensers”. As an application, we show that for plane condensers in that class the capacity blows up as the distance between the plates shrinks, but there can be no asymptotic estimate of...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Journal of functional analysis Ročník 263; číslo 10; s. 3102 - 3116
Hlavní autor:	Arcozzi, Nicola
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Inc 15.11.2012
Témata:	Condenser capacity Potential theory on trees Two-dimensional potential theory Condenser capacity Two-dimensional potential theory Potential theory on trees
ISSN:	0022-1236, 1096-0783
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Shrnutí:	We show that the capacity of a class of plane condensers is comparable to the capacity of corresponding “dyadic condensers”. As an application, we show that for plane condensers in that class the capacity blows up as the distance between the plates shrinks, but there can be no asymptotic estimate of the blow-up.
ISSN:	0022-1236 1096-0783
DOI:	10.1016/j.jfa.2012.07.016