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Vector-valued operators, optimal weighted estimates and the $C_p$ condition
Cejas, M.E.; Li, K.; Pérez, C.
; Rivera-Ríos, I.P. (2018-09)
; Rivera-Ríos, I.P. (2018-09)
In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ...
A note on the off-diagonal Muckenhoupt-Wheeden conjecture
Cruz-Uribe, D.; Martell, J.M.; Pérez, C. (2016-07-01)
(2016-07-01)
We obtain the off-diagonal Muckenhoupt-Wheeden conjecture for Calderón-Zygmund operators. Namely, given $1 < p < q < \infty$ and a pair of weights $(u; v)$, if the Hardy-Littlewood maximal function satisfies the following ...
Quantitative weighted mixed weak-type inequalities for classical operators
Ombrosi, S.; Pérez, C.; Recchi, J. (2016-06-30)
; Recchi, J. (2016-06-30)
We improve on several mixed weak type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund operators. These type of inequalities were considered by Muckenhoupt and Wheeden and later on by ...