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Regularity of the plurisubharmonic envelope in strictly pseudoconvex domains

Published 22 Mar 2017 in math.CV and math.AP | (1703.07727v2)

Abstract: We study the plurisubharmonic envelopes of functions in the setting of domains in $\mathbb Cn$. 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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