Fabio Berra

activity

20222024

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math.CA2024

Sawyer estimates of mixed type for operators associated to a critical radius function

Fabio Berra, Gladis Pradolini, Pablo Quijano

We prove mixed inequalities for the Hardy-Littlewood maximal function $M^{ρ, σ}$ , where $ρ$ is a critical radius function and $σ \geq 0$ . We also exhibit and prove an extension of Cr…

math.CA2023

Weighted mixed endpoint estimates of Fefferman-Stein type for commutators of singular integral operators

Fabio Berra, Gladis Pradolini, Jorgelina Recchi

We deal with mixed weak estimates of Fefferman-Stein type for higher order commutators of Calderón-Zygmund operators with BMO symbol. The results obtained are Fefferman-Stein inequ…

math.CA2023

Smoothness properties related to several commutators of fractional operators for values of $p$ beyond the extreme in the multilinear setting

Fabio Berra, Wilfredo Ramos

We prove continuity properties of higher order commutators of fractional operators on the multilinear setting, between a product of weighted Lebesgue spaces into certain weighted L…

Sawyer estimates of mixed type for operators associated to a critical radius function

Weighted mixed endpoint estimates of Fefferman-Stein type for commutators of singular integral operators

Smoothness properties related to several commutators of fractional operators for values of p beyond the extreme in the multilinear setting

Smoothness properties related to several commutators of fractional operators for values of $p$ beyond the extreme in the multilinear setting