On functions of bounded p-variation

被引：7
|
作者：
Kolyada, V. I. [1 ]
Lind, M. [1 ]
机构：
[1] Karlstad Univ, Dept Math, S-65188 Karlstad, Sweden
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 356卷 / 02期
关键词：
Functions of bounded p-variation; Moduli of continuity; Optimal constant factors; Function spaces; SUPERPOSITION OPERATORS; LIMITING EMBEDDINGS;
D O I：
10.1016/j.jmaa.2009.03.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain estimates of the total p-variation (1 < p < infinity) and other related functionals for a periodic function f is an element of L-p[0, 1] in terms of its L-P-modulus of continuity omega(f; delta)p. These estimates are sharp for any rate of the decay of omega(f; delta)p. Moreover, the constant coefficients in them depend on parameters in an optimal way. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：582 / 604
页数：23
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