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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, 31A15, 46A04 show english descriptions Topological linear spaces of continuous, differentiable or analytic functions
Potentials and capacity, harmonic measure, extremal length [See also 30C85]
Locally convex Frechet spaces and (DF)-spaces
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
 

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