A Marcinkiewicz Testing Criterion for Schur Multipliers
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<∞).
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