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arXiv · 2004.00929

Decay near boundary of volume of sublevel sets of $m-$subharmonic functions

Nguyen Quang Dieu·Do Thai Duong
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Abstract

We investigate decay near boundary of the volume of sublevel sets in Cegrell classes of $m-$ subharmonic function on bounded domains in $\mathbb C^n.$ On the reverse direction, some sufficient conditions for membership in certain Cegrell's classes, in terms of the decay of the sublevel sets, are also discussed.

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Nguyen Quang Dieu, Do Thai Duong. 2020-04-02. Decay near boundary of volume of sublevel sets of $m-$subharmonic functions. https://arxiv.org/abs/2004.00929

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