## 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.

### MSC:

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

Zbl 1196.31002
Full Text:

### References:

 [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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