Cn中的极值函数

IF 0.4 Q4 MATHEMATICS

Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI:10.17516/1997-1397-2021-14-3-389-398

Nurbek Narzillaev

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引用次数: 0

摘要

本文研究了加权格林函数的性质。我们研究了由类Lδ = {u(z)∈psh(Cn): u(z) 6 Cu + δ ln+ |z|， z∈Cn}， δ > 0定义的(δ， ψ)-极值格林函数V∗δ (z,K， ψ)。我们看到点对不同数δ的正则性的概念彼此不同。然而，我们证明了如果紧集K∧Cn是正则的，则δ-极值函数在整个空间Cn中是连续的

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Delta-extremal Functions in Cn

The article is devoted to properties of a weighted Green function. We study the (δ, ψ)- extremal Green function V ∗ δ (z,K, ψ) defined by the class Lδ = { u(z) ∈ psh(Cn) : u(z) 6 Cu + δ ln+ |z|, z ∈ Cn} , δ > 0. We see that the notion of regularity of points with respect to different numbers δ differ from each other. Nevertheless, we prove that if a compact set K ⊂ Cn is regular, then δ-extremal function is continuous in the whole space Cn

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来源期刊

Journal of Siberian Federal University-Mathematics & Physics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量