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

页码：582 / 604

页数：23

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