Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes

IF 0.6 4区数学 Q3 MATHEMATICS Functional Analysis and Its Applications Pub Date : 2022-10-10 DOI:10.1134/S0016266322020022

V. I. Bogachev

引用次数: 0

Abstract

According to a known characterization, a function \(f\) belongs to the Sobolev space \(W^{p,1}(\mathbb{R}^n)\) of functions contained in \(L^p(\mathbb{R}^n)\) along with their generalized first-order derivatives precisely when there is a function \(g\in L^p(\mathbb{R}^n)\) such that

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

加权Sobolev类中函数隶属性的点态条件

根据已知的表征，一个函数\(f\)属于包含在\(L^p(\mathbb{R}^n)\)中的函数及其广义一阶导数的Sobolev空间\(W^{p,1}(\mathbb{R}^n)\)，精确地当存在一个函数\(g\in L^p(\mathbb{R}^n)\)使得

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.

期刊最新文献

Restricted Partitions: The Polynomial Case Criteria for the Property (UWE) and the a-Weyl Theorem Taylor Spectrum for Modules over Lie Algebras Parametric Korteweg–de Vries Hierarchy and Hyperelliptic Sigma Functions Cyclic Vectors and Invariant Subspaces of the Backward Shift Operator in Schwartz Modules