具有s平均特征的映射若干类和子类的连续性

IF 0.4 Q4 MATHEMATICS

Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI:10.18500/1816-9791-2022-22-3-287-292

A. Malyutina

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引用次数: 0

摘要

．根据著名的Sobolev定理，如果𝐺是欧几里得空间的有界域，并且一个函数是具有一阶广义导数的可和函数，且次数为𝑝，则该函数在𝐺是连续的。如果1 <𝑝(cid:54)𝑛这个属性，一般来说，可能不是。本文给出了具有𝑠-平均特征的映射的某些类和子类连续的必要条件。文中给出了具有上述性质的该类映射的子类的例子。

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On the continuity of some classes and subclasses of maps with an s-averaged characteristic

. According to the well-known theorem of S. L. Sobolev, if 𝐺 is a bounded domain of Euclidean space and a function is a function having the first generalized derivatives summable with degree 𝑝 , then it is continuous in 𝐺 . If 1 < 𝑝 (cid:54) 𝑛 this property, generally speaking, may not be. In this paper, we find the necessary conditions under which some classes and subclasses of maps with an 𝑠 -averaged characteristic will be continuous. Examples of subclasses of such mappings with the above properties are given in our papers.

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来源期刊

Izvestiya of Saratov University Mathematics Mechanics Informatics MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

38 weeks