Abstract
We give a short proof of the known Paley-Marcinkiewicz theorem: the Haar system is an unconditional basis in Lp(p>1). The method of proof consists in a simplification for the Haar system of the method applied in R. Gundy's and other authors' papers for similar problems of the general theory of martingales.
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More From: Mathematical Notes of the Academy of Sciences of the USSR
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