A New Approach to (1, 1)-Weak Type Estimate for the Littlewood–Paley Operators S_α,ψ and${\mathrm{g}}_{\uplambda ,\uppsi }^{*}$

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发表日期：

2025年6月21日

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Arash Ghorbanalizadeh,
Monire Mikaeili Nia

摘要

We study the (1, 1)-weak type boundedness of the square function S_α,ψ by using the Nazarov–Treil–Volberg technique. Based on this result, we investigate the (1, 1)-weak type boundedness of the operator ${\mathrm{g}}_{\uplambda ,\uppsi }^{*}$ $g_{λ, ψ}^{*}$ .

A New Approach to (1, 1)-Weak Type Estimate for the Littlewood–Paley Operators Sα,ψ and\({\mathrm{g}}_{\uplambda ,\uppsi }^{*}\)

摘要

A New Approach to (1, 1)-Weak Type Estimate for the Littlewood–Paley Operators S_α,ψ and\({\mathrm{g}}_{\uplambda ,\uppsi }^{*}\)