Abstract
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 \(p>p_n\ge 1\).
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The research of P. Gurka was supported by grant No. P201-13-14743S of the Czech Science Foundation.
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Bakşi, Ö., Gurka, P., Lang, J. et al. Basis properties of Lindqvist–Peetre functions in \(L^r(0,1)^n\) . Rev Mat Complut 30, 1–12 (2017). https://doi.org/10.1007/s13163-016-0212-3
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DOI: https://doi.org/10.1007/s13163-016-0212-3