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Marcinkiewicz–Zygmund inequalities |
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| Authors: | Joaquim Ortega-Cerd Jordi Saludes |
| Institution: | aDept. Matemàtica Aplicada i Anàlis i, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain;bDept. Matemàtica Aplicada 2, Universitat Politècnica de Catalunya, Edifici TR5, Colom 11, 08222 Terrassa, Spain |
| Abstract: | We study a generalization of the classical Marcinkiewicz–Zygmund inequalities. We relate this problem to the sampling sequences in the Paley–Wiener space and by using this analogy we give sharp necessary and sufficient computable conditions for a family of points to satisfy the Marcinkiewicz–Zygmund inequalities. |
| Keywords: | Marcinkiewicz– Zygmund inequalities Sampling sequences Paley– Wiener spaces |
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