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 proposed a new conjecture, which can be viewed as the most singular case of several extensions of Sawyer's conjecture. I will give a positive answer to the new conjecture. Several quantitative estimates are also obtained. In the end, some open questions related to one-sided maximal functions (proposed by Martín Reyes) will be introduced. This talk is based on joint work with Sheldy Ombrosi and Carlos Pérez.

Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.

Related Organizations

University of Malaga
Spain

Keywords

Análisis matemático

9 Research products, page 1 of 1

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