5 papers
Simple double Lie algebras on the Laurent polynomial space
Vsevolod Gubarev
We construct a simple -double Lie algebra on for every nonzero . We then show that the analogous two-sided construction of weight zero is also simple. Both…
Continuity properties of strongly singular integral operators for extreme values of
Fabio Berra, Gladis Pradolini, Wilfredo Ramos +1
In this work, we establish continuity properties of strongly singular integral operators for extreme values of . Particularly, weighted - boundedness is obtained,…
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 between Orlicz spaces. This goal is achie…
Revisiting mixed weak inequalities of Fefferman-Stein type for commutators of Calderón-Zygmund operators: an improvement
RocÃo Ayala, Fabio Berra, Gladis Pradolini
In this paper we establish mixed weak inequalities of Fefferman-Stein type for Calderón-Zygmund operators and their commutators, improving some previous results known in the liter…
Weighted mixed inequalities for commutators of Schrödinger type operators
Fabio Berra, Gladis Pradolini, Jorgelina Recchi
We obtain weighted mixed inequalities for the first order commutator of singular integral operators in the Schrödinger setting. Concretely, for we give estimates of c…