广义密度在n上的应用

Q4 Mathematics Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI:10.2478/tmmp-2021-0003

M. Filipczak, Małgorzata Terepeta

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引用次数: 0

摘要

摘要我们检验了一些广义密度（称为（ψ，n）-密度），这些密度是加强Lebesgue密度定理的结果。这些概念是超密度、增强密度和m密度的推广，在有限周集理论和Sobolev空间中有一定的应用。

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Generalized Densities on ℝn and their Applications

Abstract We examine some generalized densities (called (ψ, n)-densities) obtained as a result of strengthening the Lebesgue Density Theorem. It turns out that these notions are the generalizations of superdensity, enhanced density and m-density, and have some applications in the theory of sets of finite perimeter and in Sobolev spaces.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

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0.00%

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