Abstract
We establish several conditions, sufficient for a set to be (quasi)conformally removable, a property important in holomorphic dynamics. This is accomplished by proving removability theorems for Sobolev spaces inR n. The resulting conditions are close to optimal.
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The first author is supported by N.S.F. Grant No. DMS-9423746.
The second author is supported by N.S.F. Grants No. DMS-9304580 and DMS-9706875.
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Jones, P.W., Smirnov, S.K. Removability theorems for Sobolev functions and quasiconformal maps. Ark. Mat. 38, 263–279 (2000). https://doi.org/10.1007/BF02384320
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DOI: https://doi.org/10.1007/BF02384320