In this paper, we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities. Also a new two-weight testing condition for the one-sided fractional maximal ...

We consider maximal operators MBMB with respect to a basis BB. In the case when MBMB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MBMB on an arbitrary quasi-Banach function space XX. ...

In this work we characterize the pairs of weights (w, v) such that the one-sided Hardy-Littlewood maximal function in dimension two is of weak-type (p, p), 1 ≤ p ≤ ∞, with respect to the pair (w, v). As an application of ...

We introduce the one-sided local maximal operator and study its connection to the one-sided Ap conditions. We get a new characterization of the boundedness of the one-sided maximal operator on a quasi-Banach function space. ...

In this paper, we get strong type inequalities for one-sided maximal best ap- proximation operators M ± which are very related to one-sided Hardy-Littlewood maximal functions M±. In order to obtain our results, strong and ...

We give a detailed proof, in the case of one space dimension, of a pointwise upper estimate for the space gradient of a temperature. The operators involved are a one-sided maximal Hardy-Littlewood in time and the Calderón ...

En este trabajo se determinan condiciones necesarias y suficientes entre las funciones que generean los espacios de Orlicz para obtener resultados de acotación de operadores en dichos espacios. Los ejemplos más importantes, ...

We aim to prove inequalities of the form | δk - λ (x, t) ∇k u (x, t) | ≤ C MR+- MD#, λ, k u (x, t) for solutions of frac(∂ u, ∂ t) = Δ u on a domain Ω = D × R+, where δ (x, t) is the parabolic distance of (x, t) to parabolic ...

One-level optimization methods have been proposed to optimize the load profile of a single user or a cluster of users in the smart grids. In this work, two two-level optimization methods are studied, one considering technical ...