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.
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页码：77 / 98
页数：22
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