A uniform boundedness principle in pluripotential theory

Kosiński, Łukasz; Martel, Étienne; Ransford, Thomas

doi:10.4310/ARKIV.2018.v56.n1.a7

Arkiv för Matematik

A uniform boundedness principle in pluripotential theory^1,^2,³

Łukasz Kosiński Étienne Martel Thomas Ransford

https://doi.org/10.4310/ARKIV.2018.v56.n1.a7

Pub. online: 5 September 2023 Type: Research Article

¹ ŁK supported by the Ideas Plus grant 0001/ID3/2014/63 of the Polish Ministry of Science and Higher Education.

² EM supported by an NSERC undergraduate student research award.

³ TR supported by grants from NSERC and the Canada Research Chairs program.

Received
31 January 2017

Published
5 September 2023

Abstract

For families of continuous plurisubharmonic functions we show that, in a local sense, separately bounded above implies bounded above.

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