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math-ph2023★ 2 cited
Embedded trace operator for infinite metric trees
Valentina Franceschi, Kiyan Naderi, Konstantin Pankrashkin
We consider a class of infinite weighted metric trees obtained as perturbations of self-similar regular trees. Possible definitions of the boundary traces of functions in the Sobol…
math.AP2023
Mean value formulas on surfaces in Grushin spaces
Valentina Franceschi, Roberto Monti, Alessandro Socionovo
We prove (sub)mean value formulas at the point for (sub)harmonic functions a on a hypersurface where the differentiable structure and the surface…