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arXiv · 2402.02970

A New Approach to $(1,1)-$Weak-type Estimate for the Littlewood-Paley Operators $S_{\alpha,\psi}$ and $g^{*}_{\lambda,\psi}$

Arash Ghorbanalizadeh·Monire Mikaeili Nia
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Abstract

In this study, $(1,1)-$weak type boundedness of square function $S_{\alpha,\psi}$ is obtained by using Nazarov-Treil and Volberg technique. Also using this result, the $(1,1)-$ weak type boundedness of $g^{*}_{\lambda,\psi}$ operator is investigated.

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Arash Ghorbanalizadeh, Monire Mikaeili Nia. 2024-02-05. A New Approach to $(1,1)-$Weak-type Estimate for the Littlewood-Paley Operators $S_{\alpha,\psi}$ and $g^{*}_{\lambda,\psi}$. https://arxiv.org/abs/2402.02970

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