RT Conference Proceedings T1 Sawyer’s problem and related open question for one-sided maximal functions A1 Li, Kangwei K1 Análisis matemático AB In this talk, I will introduce the Sawyer's conjecture,which was proposed by Sawyer in 1980s. Then in 2005, Cruz-Uribe,Martell and Pérez finally solved this conjecture, they also proposeda new conjecture, which can be viewed as the most singular case ofseveral extensions of Sawyer's conjecture. I will give a positiveanswer to the new conjecture. Several quantitative estimates are alsoobtained. In the end, some open questions related to one-sidedmaximal functions (proposed by Martín Reyes) will be introduced. Thistalk is based on joint work with Sheldy Ombrosi and Carlos Pérez. YR 2018 FD 2018-03-06 LK https://hdl.handle.net/10630/15333 UL https://hdl.handle.net/10630/15333 LA spa NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 20 ene 2026