摘要
D.Waterman和Z.A.Chanturiya分别于1972年和1974年引进了有界变差函数类BV和变差模函数类[ν]的概念。最近M.Avdispahie研究了这两个函数相互之间的关系,但所得结果不够理想。本文的目的把M.Avdispahic的结果这一步完备化,讨论了ABV.V[ν]和BV_c三个函数类的相互关系,得到了较理想的结果。
D. Waterman [1] and Z.A. Chanturiya [2] introduced the classes of. functions ABV and V[u] in 1972 and 1974, respectively. Recently, M. Avdispahic [3] has discussed relations between these Classes of functions, but the results are not complete.In th:s paper we have completed his ttheorems,
出处
《数学杂志》
CSCD
北大核心
1989年第2期165-170,共6页
Journal of Mathematics