Inequalities for Partial Moduli of Continuity and Partial Derivatives

被引：5
|
作者：
Kolyada, V. I. [1 ]
Perez Lazaro, F. J. [2 ]
机构：
[1] Karlstad Univ, Dept Math, S-65188 Karlstad, Sweden
[2] Univ La Rioja, Dept Matemat & Computac, Logrono 26004, Spain
来源：
CONSTRUCTIVE APPROXIMATION | 2011年 / 34卷 / 01期
关键词：
Moduli of continuity; Gagliardo-Nirenberg type inequalities; Sobolev spaces; Besov norms; Embeddings; Rearrangements; SOBOLEV SPACES; THEOREMS;
D O I：
10.1007/s00365-010-9088-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo-Nirenberg type inequality for partial derivatives in a fixed direction is proved. Our methods enable us to study the case when different partial derivatives belong to different spaces, including the space L (1).
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页码：23 / 59
页数：37
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