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A class of multilinear bounded oscillation operators on measure spaces and applications.
Cao, Mingming; Ibañez-Firnkorn, Gonzalo; Rivera Ríos, Israel P.; Xue, Qingying; Yabuta, Kôzô (Springer Nature, 2023)recent years, dyadic analysis has attracted a lot of attention due to the conjecture. It has been well understood that in the Euclidean setting, Calderón–Zygmund operators can be pointwise controlled by a finite number ... -
Mixed weak-type inequalities in Euclidean spaces and in spaces of the homogeneous type
Ibañez-Firnkorn, Gonzalo; Rivera Ríos, Israel P. (Wiley, 2023-11-05)In this paper, we provide mixed weak-type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente et al. One of the main novelties ... -
Weak and Strong Type Estimates for the Multilinear Littlewood–Paley Operators.
Cao, Mingming; Hormozi, Mahdi; Ibañez-Firnkorn, Gonzalo; Rivera Ríos, Israel P.; Si, Zengyan; Yabuta, Kôzô[et al.] (Springer Nature, 2021)Let be the multilinear square function defined on the cone with aperture . In this paper, we investigate several kinds of weighted norm inequalities for . We first obtain a sharp weighted estimate in terms of aperture ...