Proves optimal Sobolev inequalities and local volume noncollapsing for compact Kähler manifolds with bounded q-Nash entropy.
Liu, On relativeL ∞ estimate for complex Monge-Amp` ere equation, arXiv:2410.04393 (2024)
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Optimal geometric estimates for compact K\"ahler manifolds of a Nash entropy bound
Proves optimal Sobolev inequalities and local volume noncollapsing for compact Kähler manifolds with bounded q-Nash entropy.