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 in Rn. The resulting conditions are close to optimal.
Funding Statement
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.
Citation
Peter W. Jones. Stanislav K. Smirnov. "Removability theorems for Sobolev functions and quasiconformal maps." Ark. Mat. 38 (2) 263 - 279, October 2000. https://doi.org/10.1007/BF02384320
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