A Marcinkiewicz Testing Criterion for Schur Multipliers

Published 27 Sep 2022 in math.FA | (2209.13108v7)

Abstract: We prove a Marcinkiewicz testing condition for the boundedness of Schur multipliers on the Schatten $p$-classes. This generalizes a previous work of J. Bourgain for Toeplitz type Schur multipliers. As a corollary, we obtain a new unconditional decomposition for the Schatten $p$-classes ($1<p<\infty$).

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