Basis properties of Lindqvist–Peetre functions in \(L^r(0,1)^n\)
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- 作者：Özlem Bakşi ; Petr Gurka ; Jan Lang ; Osvaldo Méndez
- 关键词：\(p{ ; }p'\) ; Laplacian ; Generalized p ; trigonometric functions of Lindqvist and Peetre ; Basis properties
- 刊名：Revista Matemática Complutense
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：30
- 期：1
- 页码：1-12
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics, general; Algebra; Analysis; Applications of Mathematics; Geometry; Topology;
- 出版者：Springer Milan
- ISSN：1988-2807
- 卷排序：30
文摘
We prove that the generalized p-trigonometric functions of Lindqvist and Peetre form a basis in the Lebesgue space \(L^r(0,1)^n\) for any \(r\in (1,\infty )\), provided \(n\le 3\) and \(p>p_n\ge 1\).