On Optimal Smoothness of the Green Function for the Complement of a Cantor-Type Set |
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| Authors: | VV Andrievskii |
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| Institution: | (1) Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA |
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| Abstract: | We give a new streamlined proof of a recent result by Totik concerning the local Holder 1/2 property of the Green function
for the complement of a Cantor-type set taken with respect to the extended complex plane. To simplify the proof we find certain
families of curves and estimate their moduli. In addition, we extend Totik's theorem to more general Cantor-type sets. |
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