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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.

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Authors and Affiliations

  1. Université Paris-Sud, Paris, France

    Yi Huang

  2. Université Paris-Saclay, Paris, France

    Yi Huang

  3. Nanjing Normal University, Nanjing, China

    Yi Huang

Authors
  1. Yi Huang
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Correspondence to Yi Huang.

Additional information

Published in Russian in Matematicheskie Zametki, 2018, Vol. 103, No. 4, pp. 544–548.

The text was submitted by the author in English.

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Huang, Y. Remarks on Weak-Type Estimates for Certain Grand Square Functions. Math Notes 103, 589–592 (2018). https://doi.org/10.1134/S0001434618030252

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  • DOI: https://doi.org/10.1134/S0001434618030252

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