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

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

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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Veröffentlicht in:	arXiv.org 2024-02
Hauptverfasser:	Ghorbanalizadeh, Arash, Monire Mikaeili Nia
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422

Zusammenfassung:	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.
ISSN:	2331-8422

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