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Korevaar- S choen and heat kernel characterizations of S obolev and BV spaces on local trees

Fabrice Baudoin, Li Chen, Meng Yang · arXiv 2505.10177

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Sobolev spaces on snowtrees

math.MG · 2026-06-29 · accept · novelty 6.5

On Ahlfors-regular ε-snowtrees the discrete-energy Sobolev space equals the Korevaar–Schoen space for every multiscale partition, with critical exponent α_p = Q/p + 1/ε − 1/(pε).

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  • Sobolev spaces on snowtrees math.MG · 2026-06-29 · accept · none · ref 10

    On Ahlfors-regular ε-snowtrees the discrete-energy Sobolev space equals the Korevaar–Schoen space for every multiscale partition, with critical exponent α_p = Q/p + 1/ε − 1/(pε).