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Spaces of Whitney Functions on Cantor-Type Sets

Published:2002-04-01
Printed: Apr 2002
• Bora Arslan
• Alexander P. Goncharov
• Mefharet Kocatepe
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Abstract

We introduce the concept of logarithmic dimension of a compact set. In terms of this magnitude, the extension property and the diametral dimension of spaces $\calE(K)$ can be described for Cantor-type compact sets.
 MSC Classifications: 46E10 - Topological linear spaces of continuous, differentiable or analytic functions 31A15 - Potentials and capacity, harmonic measure, extremal length [See also 30C85] 46A04 - Locally convex Frechet spaces and (DF)-spaces