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arXiv · 2303.11439

Mean value formulas on surfaces in Grushin spaces

Valentina Franceschi·Roberto Monti·Alessandro Socionovo
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Abstract

We prove (sub)mean value formulas at the point $0\in\Sigma$ for (sub)harmonic functions a on a hypersurface $\Sigma\subset\mathbb{R}^{n+1}$ where the differentiable structure and the surface measure depend on the ambient Grushin structure.

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Valentina Franceschi, Roberto Monti, Alessandro Socionovo. 2023-03-20. Mean value formulas on surfaces in Grushin spaces. https://arxiv.org/abs/2303.11439

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