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

共 50 条

[31] Fourier coefficients of functions from the Nikol'skii-Besov class
Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika, 2002, (06): : 26 - 36
[32] Approximation characteristics of the isotropic Nikol'skii-Besov functional classes
Yanchenko, S. Ya.
Radchenko, O. Ya.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2021, 13 (03) : 851 - 861
[33] Approximation of the Classes of Periodic Functions of One and Many Variables from the Nikol'skii-Besov and Sobolev Spaces
Romanyuk, A. S.
Yanchenko, S. Ya
UKRAINIAN MATHEMATICAL JOURNAL, 2022, 74 (06) : 967 - 980
[34] Order of the trigonometric widths of the Nikol'skii-Besov classes with mixed metric in the metric of anisotropic Lorentz spaces
Bekmaganbetov, K. A.
Kervenev, K. Ye
Toleugazy, Ye
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2020, 97 (01): : 17 - 26
[35] Kolmogorov Widths for Analogs of the Nikol’skii–Besov Classes with Logarithmic Smoothness
S. A. Stasyuk
Ukrainian Mathematical Journal, 2016, 67 : 1786 - 1792
[36] EQUIVALENT QUASI-NORMS INVOLVING DIFFERENCES AND MODULI OF CONTINUITY IN ANISOTROPIC NIKOL'SKII-BESOV SPACES
Halim, B.
Senouci, A.
EURASIAN MATHEMATICAL JOURNAL, 2016, 7 (02): : 7 - 18
[37] Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol’skii–Besov spaces
Romanyuk A.S.
Romanyuk V.S.
Journal of Mathematical Sciences, 2021, 252 (4) : 508 - 525
[38] Duality between anisotropic Stepanov and Nikol’skii spaces
V. A. Kostin
A. V. Kostin
V. A. Gorlov
Doklady Mathematics, 2010, 82 : 959 - 962
[39] Kolmogorov Widths for Analogs of the Nikol'skii-Besov Classes with Logarithmic Smoothness
Stasyuk, S. A.
UKRAINIAN MATHEMATICAL JOURNAL, 2016, 67 (11) : 1786 - 1792
[40] Duality between Anisotropic Stepanov and Nikol'skii Spaces
Kostin, V. A.
Kostin, A. V.
Gorlov, V. A.
DOKLADY MATHEMATICS, 2010, 82 (03) : 959 - 962

← 1 2 3 4 5 →