Removability theorems for Sobolev functions and quasiconformal maps

Peter W. Jones, Stanislav K. Smirnov

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


We established 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.

Original languageEnglish
Pages (from-to)263-279
Number of pages17
JournalArkiv for Matematik
Issue number2
Publication statusPublished - Oct 2000
Externally publishedYes


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