Rotation of a coordinate system and two-dimensional classes of functions of generalized bounded variation

被引：3

作者：

D'yachenko M.I. ^{[1
]}

机构：

[1] Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory

来源：

Moscow University Mathematics Bulletin | 2008年 / 63卷 / 3期

基金：

俄罗斯基础研究基金会;

关键词：

Coordinate System; Bounded Variation; Prove Theorem; Bounded Generalize; Leninskie Gory;

D O I：

10.3103/S0027132208030054

中图分类号：

学科分类号：

摘要：

Problems concerning the dependence of classes of functions of two variables of bounded variation and of generalized bounded variation on the choice of a coordinate system are considered. A description of all Waterman classes containing a function of two variables of bounded variation after rotation of a coordinate system by an angle not divisible by π/2 is obtained. A similar problem for alternative Waterman classes is considered. © 2008 Allerton Press, Inc.

引用

页码：107 / 110

页数：3

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