Published January 1, 2021 | Version v1
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Logarithmic dimension and bases in Whitney spaces

  • 1. Bilkent Univ, Fac Appl Sci, Dept Math, Ankara, Turkey
  • 2. Sabanci Univ, Fac Engn & Nat Sci, Istanbul, Turkey

Description

We give a formula for the logarithmic dimension of the generalized Cantor-type set K. In the case when the logarithmic dimension of K is smaller than 1, we construct a Faber basis in the space of Whitney functions E(K).

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