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arXiv · 1703.07727

Regularity of the plurisubharmonic envelope in strictly pseudoconvex domains

Slawomir Dinew
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Abstract

We study the plurisubharmonic envelopes of functions in the setting of domains in $\mathbb C^n$. In particular we prove a complex analogue of a result of De Philippis and Figalli concerning the optimal regularity of such envelopes in smooth strictly pseudoconvex domains.

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Slawomir Dinew. 2017-06-19. Regularity of the plurisubharmonic envelope in strictly pseudoconvex domains. https://arxiv.org/abs/1703.07727

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