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A Disc Formula for Plurisubharmonic Subextensions in Manifolds

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Abstract

We provide sufficient conditions on a manifold X and a domain W in X which imply that the largest plurisubharmonic subextension of an upper-semicontinuous function on W to X can be represented by a disc formula.

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Acknowledgements

The author would like to thank the referee for his remarks.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, University of Ljubljana, and Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000, Ljubljana, Slovenia

    Barbara Drinovec Drnovšek

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  1. Barbara Drinovec Drnovšek
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Correspondence to Barbara Drinovec Drnovšek.

Additional information

Communicated by Bo Berndtsson.

Research supported by grant P1-0291 and J1-5432, Republic of Slovenia.

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Drinovec Drnovšek, B. A Disc Formula for Plurisubharmonic Subextensions in Manifolds. J Geom Anal 25, 1401–1408 (2015). https://doi.org/10.1007/s12220-014-9474-5

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  • DOI: https://doi.org/10.1007/s12220-014-9474-5

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