Direct and Inverse Embedding Theorems for Different Dimensions for a Class of Multianisotropic Sobolev Spaces

Siberian Advances in Mathematics Pub Date : 2024-05-31 DOI:10.1134/s1055134424020019

M. A. Khachaturyan

引用次数: 0

Abstract

We consider a class of completely regular polyhedrons \(\mathfrak {N} \) and prove direct and inverse embedding theorems for different dimensions (i.e., theorems on the traces) for functions in the Sobolev multianisotropic space \( W^{\mathfrak {N}}_2(\mathbb {R}^3)\).

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一类多向异性索波列夫空间不同维度的直接和反嵌入定理

Abstract 我们考虑了一类完全正多面体 \(\mathfrak {N} \)，并证明了索波列夫多向异性空间 \( W^{mathfrak {N}}_2(\mathbb {R}^3)\) 中函数在不同维度上的直接和反向嵌入定理（即迹线定理）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.