Erratum to: “A dual characterization of the \({\mathcal C}^1\) harmonic capacity and applications”. (English) Zbl 1220.31009

Summary: In our previous paper [A. Mas, M. Melnikov and X. Tolsa, Duke Math. J. 153, No. 1, 1–22 (2010; Zbl 1196.31002)], we studied some questions related to the \({\mathcal C}^1\) and Lipschitz harmonic capacities. A serious error was found in the arguments. In this note, we explain how this error, which we have not been able to fix, affects the results claimed in that paper.


31B15 Potentials and capacities, extremal length and related notions in higher dimensions


Zbl 1196.31002
Full Text: DOI


[1] A. Mas, M. Melnikov, and X. Tolsa, A dual characterization of the \(\CC^1\) harmonic capacity and applications , Duke Math. J. 153 (2010), 1-22. · Zbl 1196.31002
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