Remarks on Weak-Type Estimates for Certain Grand Square Functions
- Authors: Huang Y.1,2,3
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Affiliations:
- Université Paris-Sud
- Université Paris-Saclay
- Nanjing Normal University
- Issue: Vol 103, No 3-4 (2018)
- Pages: 589-592
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150737
- DOI: https://doi.org/10.1134/S0001434618030252
- ID: 150737
Cite item
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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