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Bishop, C · 2001

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math.MG 1

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Bounded geometry and $p$-harmonic functions under uniformization and hyperbolization

math.MG · 2019-08-13 · accept · novelty 7.0

Exponential reweighting of measures under Bonk-Heinonen-Koskela uniformization and hyperbolization preserves local doubling and Poincare inequalities, yielding a boundary-capacity characterization of the finite-energy Liouville theorem for p-harmonic functions on Gromov hyperbolic spaces.

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  • Bounded geometry and $p$-harmonic functions under uniformization and hyperbolization math.MG · 2019-08-13 · accept · none · ref 2

    Exponential reweighting of measures under Bonk-Heinonen-Koskela uniformization and hyperbolization preserves local doubling and Poincare inequalities, yielding a boundary-capacity characterization of the finite-energy Liouville theorem for p-harmonic functions on Gromov hyperbolic spaces.