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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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