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Mostrando ítems 1-7 de 7
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Commutators of singular integrals revisited
Lerner, Andrei; Ombrosi, Sheldy; Rivera Ríos, Israel P. (London Mathematical Society, 2019) -
Fefferman-Stein inequalities for the Hardy-Littlewood maximal function on the infinite rooted k-ary tree.
Ombrosi, Sheldy J.; Rivera Ríos, Israel P.; Safe, Martín D. (Oxford Academic, 2020-08-27)In this paper weighted endpoint estimates for the Hardy-Littlewood maximal function on the infinite rooted k-ary tree are provided. Motivated by Naor and Tao [23] the following Fefferman-Stein estimate w ({x ∈ T : Mf(x) ... -
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 ... -
On two weight estimates for iterated commutators.
Lerner, Andrei; Ombrosi, Sheldy J.; Rivera Ríos, Israel P. (Elsevier, 2021)In this paper we extend the bump conjecture and a particular case of the separated bump conjecture with logarithmic bumps to iterated commutators . Our results are new even for the first order commutator . A new bump ... -
Optimalidad en la conjetura débil de Muckenhoupt-Wheeden
Ombrosi, Sheldy J. (2018-03-06)En el año 2009 conjuntamente con A. Lerner y C. P\'erez probamos que la dependencia en relación a la constante $[w]_A_1$ de un peso $w$ en el tipo débil (1,1) de la cualquier operador de Calderón-Zygmund se puede controlar ... -
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 ... -
Weighted Lp estimates on the infinite rooted k-ary tree.
Ombrosi, Sheldy J.; Rivera Ríos, Israel P. (Springer Nature, 2021)In this paper sufficient conditions for weighted weak and strong type (p, p) estimates with for the centered maximal function on the infinite rooted k-ary tree are provided. Here the line initated by the authors and ...