A New Approach to (1, 1)-Weak Type Estimate for the Littlewood–Paley Operators S_α,ψ andgλ,ψ∗

Ghorbanalizadeh A. Nia M.M.
June 2025 Springer

Journal of Mathematical Sciences (United States)
2025 #291 Issue 2 202 - 216 pp.

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 gλ,ψ∗.

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Nazarbayev University, 53, Kabanbay Batyr Av., Astana, 010000, Kazakhstan
Institute for Advanced Studies in Basic Sciences, 444, Prof. Yousef Sobouti Blvd., Zanjan, 45137-66731, Iran
Remote Lab of Ghent Analysis & PDE Center in Armenia Yerevan State University, 1, Alek Manukyan St., Yerevan, 0025, Armenia

Nazarbayev University
Institute for Advanced Studies in Basic Sciences
Remote Lab of Ghent Analysis & PDE Center in Armenia Yerevan State University

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