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Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds (1702.05230v3)
Published 17 Feb 2017 in math.AP and math.CV
Abstract: In this paper, we prove the $C{1, 1}$-regularity of the plurisubharmonic envelope of a $C{1,1}$ function on a compact Hermitian manifold. We also present examples to show this regularity is sharp.
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