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A Kato class for the Khon Laplacian

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Abstract

In this paper we establish an upper estimate and a 3G-theorem for the Green function of the Khon Laplacian \(\Delta _{{\mathbb {H}}}\) on a domain D of the Heisenberg group \({{\mathbb {H}}^n}\). We also establish a generalized triangle property which allows us to introduce a new Kato class for the ball.

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  1. Faculty of Sciences of Tunis, University of Tunis El-Manar, Campus universitaire, 2092, Tunis, Tunisia

    Amor Drissi & Nedra Belhaj Rhouma

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  1. Amor Drissi
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  2. Nedra Belhaj Rhouma
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Correspondence to Amor Drissi.

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Drissi, A., Belhaj Rhouma, N. A Kato class for the Khon Laplacian. Positivity 23, 789–809 (2019). https://doi.org/10.1007/s11117-018-0638-6

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