Logaritmik boyut ve Whitney uzaylarında bazlar

In generalization of [3] we will give the formula for the logarithmic dimension ofany Cantor-type set. We will demonstrate some applications of the logarithmicdimension in Potential Theory. We will construct a polynomial basis in E(K(Λ))when the logarithmic dimension of a Cantor-type set is smaller than 1. We willshow that for any generalized Cantor-type set K(Λ), the space E(K(Λ)) possessesa Schauder basis. Locally elements of the basis are polynomials. The resultgeneralizes theorems 1 and 2 in [12].Keywords: logarithmic dimension, Whitney spaces, topological bases.