A brief survey of results on the characterization of the spaces associated with given classes of function spaces is presented. It is shown that the situation differs in general for ideal and non-ideal spaces. In the second case the notion of associated space splits into two. In the main body of the text a complete description is given of the function spaces associated with weighted Sobolev spaces of the first order on the real line. Bibliography: 54 titles.

中文翻译：

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与实线上一阶加权Sobolev空间相关的函数空间的特征

简要概述了与给定功能空间类别相关的空间表征结果。结果表明，理想空间和非理想空间的情况通常有所不同。在第二种情况下，关联空间的概念分为两​​部分。在本文的主体中，给出了与实线上一阶加权Sobolev空间关联的函数空间的完整描述。参考书目：54种。