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Quasiadditivity and measure property of capacity and the tangential boundary behavior of harmonic functions
Uppsala University.
Uppsala University.
1996 (English)In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol. 348, no 3, 1013-1030 p.Article in journal (Other scientific) Published
Abstract [en]

We show that ii a set E is dispersely decomposed into subsets, then the capacity of E is comparable to the summation of tile capacities of the subsets. From this fact it is derived that the Lebesgue measure of a certain expanded set is estimated by the ca

Place, publisher, year, edition, pages
AMER MATHEMATICAL SOC , 1996. Vol. 348, no 3, 1013-1030 p.
Keyword [en]
quasiadditivity of capacity; boundary behavior of harmonic functions; thin set; fine limit; approach region
URN: urn:nbn:se:uu:diva-27023OAI: oai:DiVA.org:uu-27023DiVA: diva2:54917
Addresses: KUMAMOTO UNIV, FAC SCI, DEPT MATH, KUMAMOTO 860, JAPAN. UNIV UPPSALA, DEPT MATH, S-75106 UPPSALA, SWEDEN.Available from: 2008-10-17 Created: 2008-10-17 Last updated: 2011-01-15

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