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On the sharpness of some quantitative Muckenhoupt-Wheeden inequalities.
Lerner, Andrei; Li, Kangwei; Ombrosi, Sheldy J.; Rivera Ríos, Israel P. (Académie des sciences, 2024). In the recent work [Cruz-Uribe et al. (2021)] it was obtained that |{x ∈ R d : w(x)|G(f w−1 )(x)| > α}| ≲ [w] 2 A1 α Z Rd |f |dx both in the matrix and scalar settings, where G is either the Hardy–Littlewood ... -
Sawyer’s problem and related open question for one-sided maximal functions
Li, Kangwei (2018-03-06)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 ... -
Upper endpoint estimates and extrapolation for commutators.
Li, Kangwei; Ombrosi, Sheldy J.; Rivera Ríos, Israel P. (Instituto de Matemática de Bahía Blanca (CONICET - UNS), 2023)In this note we revisit the upper endpoint estimates for commutators following the line by Harboure, Segovia, and Torrea [Illinois J. Math. 41 no. 4 (1997), 676–700]. Relying upon the suitable BMO subspace suited for the ...