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- Sjödin, Tord
(författare)
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Bessel potentials and extension of continuous functione on compact sets
- 1975
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Ingår i: Arkiv för matematik. - Djursholm : Institut Mittag-Leffler. - 0004-2080 .- 1871-2487. ; 13:2, s. 263-271
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Tidskriftsartikel (refereegranskat)abstract
- 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.
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- Sjödin, Tord
(författare)
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Capacities of compact sets in linear subspaces of R^n
- 1978
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Ingår i: Pacific Journal of Mathematics. - Los Angeles : Pacific Journal of Mathematics. - 0030-8730. ; 78:1, s. 261-266
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Tidskriftsartikel (refereegranskat)abstract
- We characterize the exceptional sets for Besov spaces in the n-dimensional Euclidean space by an extension property for continuous functions and prove an inequality between Bessel and Besov capacities.
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8. |
- Persson, Lars-Erik
(författare)
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On a weak-type theorem with applications
- 1979
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Ingår i: Proceedings of the London Mathematical Society. - : Wiley. - 0024-6115 .- 1460-244X. ; s3-38:2, s. 295-308
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Tidskriftsartikel (refereegranskat)
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