Marcinkiewicz-Zygmund inequalities

Details Marcinkiewicz-Zygmund inequalities Marcinkiewicz-Zygmund inequalities

2005-07-26

arxiv.org/abs/math/0507533v1

Journal of Approximation Theory Volume 145, Issue 2, April 2007, Pages 237-252

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1016/j.jat.2006.09.001

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.

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