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Weighted inequalities for the one-sided geometric maximal operators. Ortega-Salvador, Pedro Ramírez Torreblanca, Consuelo Desigualdades (Matemáticas) Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/1843 We characterize the pairs of weights (u, v) such that the one-sided geometric maximal operator G+, defined for functions f of one real variable by G+ f(x) = sup h>0 exp 1 h x+h x log |f| , verifies the weak-type inequality {x∈R:G+ f (x)>λ} u ≤ C λp ∞ 0 |f|p v or the strong type inequality R (G+ f)p u ≤ C R |f|p v for 0 < p < ∞. We also find two new conditions which are equivalent to A+ ∞. 2024-05-24T08:24:28Z 2024-05-24T08:24:28Z 2011 journal article Salvador, P.O. and Torreblanca, C.R. (2011), Weighted inequalities for the one-sided geometric maximal operators. Math. Nachr., 284: 1515-1522. https://doi.org/10.1002/mana.200910028 https://hdl.handle.net/10630/31381 10.1002/mana.200910028 eng open access Wiley