Oka's lemma

id: oka-s-lemma-247-5691417
title: Oka's lemma
text: In mathematics, Oka's lemma, proved by Kiyoshi Oka, states that in a domain of holomorphy in C n , the function − log ⁡ d is plurisubharmonic, where d is the distance to the boundary. This property shows that the domain is pseudoconvex. Historically, this lemma was first shown in the Hartogs domain in the case of two variables, also Oka's lemma is the inverse of the Levi's problem. So maybe that's why Oka called Levi's problem as "problème inverse de Hartogs", and the Levi's problem is occasiona
brand slug: wiki
category slug: encyclopedia
description: Theorem in mathematics about plurisubharmonic functions
original url: https://en.wikipedia.org/wiki/Oka%27s_lemma
date created:
date modified: 2023-08-12T16:10:38Z
main entity: {"identifier":"Q7081688","url":"https://www.wikidata.org/entity/Q7081688"}
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integrity: 14

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