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).

引用

页码：23 / 59

页数：37

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