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arxiv: 1702.05230 · v3 · pith:UQG2YTD4new · submitted 2017-02-17 · 🧮 math.AP · math.CV

Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds

classification 🧮 math.AP math.CV
keywords regularitycompacthermitianplurisubharmonicenvelopeenvelopesexamplesfunction
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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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