A Marcinkiewicz Testing Criterion for Schur Multipliers

2022/09/27 by Chuah, Chianyeong, Liu, Zhenchuan, Mei, Tao · 2 citations
#46B28 #46L52 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2209.13108

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

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