Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker's cardinal series and related unconditional Schauder bases期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker's cardinal series and related unconditional Schauder bases

Authors:

Winfried Sickel

Institution:

1. Mathematische Fakult?t der, Friedrich-Schiller-Universit?t Jena, UHH, 17. OG, O-6900, Jena, FRG

Abstract:

Let

$I_W f(x) = \sum\limits_{k_1 = - \infty }^\infty \cdots \sum\limits_{k_n = - \infty }^\infty {f\left( {\frac{{2\pi k}}{{2W + 1}}} \right)\prod\limits_{i = 1}^n {\frac{{\sin \left( {\frac{{2W + 1}}{2}x_i - k_i \pi } \right)}}{{\left( {\frac{{2W + 1}}{2}x_i - k_i \pi } \right)}}} }$

Keywords:	AMS classification" target="_blank">AMS classification 41A05 41A63 46E35
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