M. Carena

activity

20132025

most citedMixed weak estimates of Sawyer type for commutators of singular integrals and related operators

2 citations · 2 across the 7 of their papers we have counts for

collaborators

8 papers

math.CA2025

Characterization of the continuity properties of maximal operators associated to critical radius functions via Dini type conditions

Fabio Berra, Marilina Carena, Gladis Pradolini

We give a characterization of the continuity properties of a Luxemburg maximal type operator associated to a critical radius function $ρ$ between Orlicz spaces. This goal is achiev…

math.CA2022

Mixed inequalities of Fefferman-Stein type for singular integral operators

Fabio Berra, Marilina Carena, Gladis Pradolini

We give Feffermain-Stein type inequalities related to mixed estimates for Calderón-Zygmund operators. More precisely, given $δ > 0$ , $q > 1$ , $φ (z) = z (1 + lo g^{+} z)^{δ}$ , a nonnegative and l…

math.CA2021

Mixed inequalities for commutators with multilinear symbol

Fabio Berra, Marilina Carena, Gladis Pradolini

We prove mixed inequalities for commutators of Calderón-Zygmund operators (CZO) with multilinear symbols. Concretely, let $m \in N$ and $b = (b_{1}, b_{2}, \dots, b_{m})$ be…

math.CA2019

Improvements on Sawyer type estimates for generalized maximal functions

Fabio Berra, Marilina Carena, Gladis Pradolini

In this paper we prove mixed inequalities for the maximal operator $M_{Φ}$ , for general Young functions $Φ$ with certain additional properties, improving and generalizing some previo…

math.AP2017

Mixed weak estimates of Sawyer type for fractional integrals and some related operators

Fabio Berra, Marilina Carena, Gladis Pradolini

We prove mixed weak estimates of Sawyer type for fractional operators. More precisely, let $T$ be either the maximal fractional function $M_{γ}$ or the fractional integral…

math.CA2017★ 2 cited

Mixed weak estimates of Sawyer type for commutators of singular integrals and related operators

Fabio Berra, Marilina Carena, Gladis Pradolini

We study mixed weak type inequalities for the commutator $[b, T]$ , where $b$ is a BMO function and $T$ is a Calderón-Zygmund operator. More precisely, we prove that for every $t > 0$ …

math.MG2013

On s-sets in spaces of homogeneous type

Marilina Carena, Marisa Toschi

Let $(X, d, μ)$ be a space of homogeneous type. In this note we study the relationship between two types of $s$ -sets: relative to a distance and relative to a measure. We find a cond…

math.FA2013

Powers of distances to lower dimensional sets as Muckenhoupt weights

Hugo Aimar, Marilina Carena, Ricardo Durán +1

Let $(X, d, μ)$ be an Ahlfors metric measure space. We give sufficient conditions on a closed set $F \subseteq X$ and on a real number $β$ in such a way that $d (x, F)^{β}$ becomes a Muck…