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.
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页码：107 / 110
页数：3
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