副法线措施

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-03-24 DOI:10.37394/23206.2023.22.39

Emmanuel P. Smyrnelis, Panayotis Smyrnelis

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引用次数: 0

摘要

我们的起点是测度$\epsilon_x-\alpha_x\rho_x^{\omega_1}+\beta_x\rho_x^{\omega_2}$，其中$\rho_x^{\omega_i}$是相对于$x \in \omega_1 \subset \overline{\omega}_1 \subset \omega_2$的谐波测度，$\omega_i$是$\R^n$的同心圆;$\alpha_x$、$\beta_x$是依赖于$x$和$\omega_i$、$(i=1,2)$的半径的函数。在此基础上，引入并研究了二正规测度及其与双调和函数的关系。

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Binormal Measures

Our starting point is the measure $\epsilon_x-\alpha_x\rho_x^{\omega_1}+\beta_x\rho_x^{\omega_2}$, where $\rho_x^{\omega_i}$ is the harmonic measure relative to $x \in \omega_1 \subset \overline{\omega}_1 \subset \omega_2$ and $\omega_i$ are concentric balls of $\R^n$; $\alpha_x$, $\beta_x$ are functions depending on $x$ and on the radii of $\omega_i$, $(i=1,2)$. Generalizing the above measure, we introduce and study the binormal measures as well as their relation to biharmonic functions.

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.