A Marcinkiewicz Testing Criterion for Schur Multipliers
Functional Analysis
2025-06-04 v7
Abstract
We prove a Marcinkiewicz testing condition for the boundedness of Schur multipliers on the Schatten -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 -classes ().
Keywords
Cite
@article{arxiv.2209.13108,
title = {A Marcinkiewicz Testing Criterion for Schur Multipliers},
author = {Chianyeong Chuah and Zhenchuan Liu and Tao Mei},
journal= {arXiv preprint arXiv:2209.13108},
year = {2025}
}
Comments
misprints corrected