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A mean value criterion for plurisubharmonic functions

Karim RakhimovLaboratoire Paul PainlevéShomurod ShopulatovV.I.Romanovskiy Institute of Mathematics AS RUz, Tashkent, Uzbekistan

Complex Variables and Elliptic Equationsjournal2021en

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Manbada oʻqisharxiv.org(yangi oynada ochiladi)
PDFarxiv.org(yangi oynada ochiladi)

ABI

Annotatsiya

In this paper, we prove a criterion for plurisubharmonic functions in terms of integral mean by complex ellipsoids. Moreover, by using the criterion, we prove an analogue of Blaschke–Privalov theorem for plurisubharmonic functions.

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Mavzular

Holomorphic and Operator Theory Geometry and complex manifolds Algebraic and Geometric Analysis

Identifikatorlar

DOI: 10.1080/17476933.2021.1954623

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