English

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

Classical Analysis and ODEs 2024-02-06 v1

Abstract

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

Keywords

Cite

@article{arxiv.2402.02970,
  title  = {A New Approach to $(1,1)-$Weak-type Estimate for the Littlewood-Paley Operators $S_{\alpha,\psi}$ and $g^{*}_{\lambda,\psi}$},
  author = {Arash Ghorbanalizadeh and Monire Mikaeili Nia},
  journal= {arXiv preprint arXiv:2402.02970},
  year   = {2024}
}