A characterization of structural Nikol'skii - Besov spaces using fractional derivatives

被引：0

作者：

Enriquez, Francisco ^{[1
]}

Montes, Alex ^{[1
]}

Perez, Jhon ^{[1
]}

机构：

[1] Univ Cauca, Dept Matemat, Popayan, Colombia

来源：

BOLETIN DE MATEMATICAS | 2010年 / 17卷 / 01期

关键词：

Nikol'skii Besov spaces; fractional derivative; Poisson kernel; Poisson integral;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Nikol'skii-Besov spaces B(alpha)pq(R-n), 1 <= p, q <= infinity, alpha > 0, are defined in terms of modulus of continuity and they are characterized using the partial derivatives of the Poisson integrals. In this work we show a characterization of the functions of B(alpha)pq(R-n) using the Caputo noninteger order derivative of the Poisson integral.

引用

页码：77 / 98

页数：22

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