We prove (sub)mean value formulas at the point 0 is an element of E for (sub)harmonic functions on a hypersurface E subset of 1[8n+1 where the differentiable structure and the surface measure depend on the ambient Grushin structure.
Mean value formulas on surfaces in Grushin spaces
Franceschi V.;Monti R.;
2024
Abstract
We prove (sub)mean value formulas at the point 0 is an element of E for (sub)harmonic functions on a hypersurface E subset of 1[8n+1 where the differentiable structure and the surface measure depend on the ambient Grushin structure.
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