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Bessel potentials and extension of continuous functione on compact sets
Umeå University, Faculty of Science and Technology, Mathematics and Mathematical Statistics.
1975 (English)In: Arkiv för matematik, ISSN 0004-2080 (p), 1871-2487 (e), Vol. 13, no 2, 263-271 p.Article in journal (Refereed) Published
Abstract [en]

We characterize the compact sets K in the n-dimensional Euclidean space with capacity zero relative to a certain kernel as exactly those sets for which every continous function on K has an extension to a continuous potential in the full space. A special case in the Bessel kernel and the related capacity.

Place, publisher, year, edition, pages
Djursholm: Institut Mittag-Leffler , 1975. Vol. 13, no 2, 263-271 p.
Keyword [en]
Bessel potential, capacity, continuous function
National Category
Mathematical Analysis
Research subject
URN: urn:nbn:se:umu:diva-30655OAI: diva2:286404
Available from: 2010-01-14 Created: 2010-01-11 Last updated: 2010-01-15

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Sjödin, Tord
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ReferencesLink to record
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