Remarks on Weak-Type Estimates for Certain Grand Square Functions


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Abstract

In this note we extend weak-type estimates obtained recently by A. K. Lerner to certain grand square functions by using a simple argument in terms of real variables. In this way, we improve a weak-type L1-estimate for grand Littlewood–Paley operators due to N. N. Osipov.

About the authors

Yi Huang

Université Paris-Sud; Université Paris-Saclay; Nanjing Normal University

Author for correspondence.
Email: Yi.Huang@njnu.edu.cn
France, Paris; Paris; Nanjing

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