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Equicontinuity of families of plurisubharmonic functions with bounds on their Monge-Ampère masses

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Abstract.

It is proved that families of solutions of the complex Monge-Ampère equation with fixed boundary values and certain bounds on the right hand side are equicontinuous.

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Authors and Affiliations

  1. Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland (e-mail: kolodzie@im.uj.edu.pl) , , , , , , PL

    Sławomir Kołodziej

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  1. Sławomir Kołodziej
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Received: 24 April 2001; in final form: 10 August 2001 / Published online: 28 February 2002

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Kołodziej, S. Equicontinuity of families of plurisubharmonic functions with bounds on their Monge-Ampère masses. Math Z 240, 835–847 (2002). https://doi.org/10.1007/s002090100401

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  • DOI: https://doi.org/10.1007/s002090100401

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