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“Potato kugel” for sub-Laplacians

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Abstract

In this note we extend, to the sub-Laplacian setting, a theorem of Aharonov, Schiffer and Zalcman regarding an inverse property for harmonic functions. As a byproduct, a harmonic characterization of the gauge balls is proved, thus extending a theorem of Kuran concerning the Euclidean balls.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato, 5, IT-40126, Bologna, Italy

    Ermanno Lanconelli

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  1. Ermanno Lanconelli
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Correspondence to Ermanno Lanconelli.

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Lanconelli, E. “Potato kugel” for sub-Laplacians. Isr. J. Math. 194, 277–283 (2013). https://doi.org/10.1007/s11856-012-0060-x

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  • DOI: https://doi.org/10.1007/s11856-012-0060-x

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