17 citations · 58 across the 26 of their papers we have counts for
4 papers · 1 filter
UMD Banach spaces and square functions associated with heat semigroups for Schrödinger and Laguerre operators
J. J. Betancor, A. J. Castro, J. C. Fariña +1
In this paper we define square functions (also called Littlewood-Paley-Stein functions) associated with heat semigroups for Schrödinger and Laguerre operators acting on functions w…
Square functions in the Hermite setting for functions with values in UMD spaces
Jorge J. Betancor, Alejandro J. Castro, Jezabel Curbelo +2
In this paper we characterize the Lebesgue Bochner spaces , , by using Littlewood-Paley -functions in the Hermite setting, provided that is…
-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators
Jorge J. Betancor, Alejandro J. Castro, Pablo L. De Nápoli +2
In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak t…
-radonifying operators and UMD-valued Littlewood-Paley-Stein functions in the Hermite setting on BMO and Hardy spaces
Jorge J. Betancor, Alejandro J. Castro, Jezabel Curbelo +2
In this paper we study Littlewood-Paley-Stein functions associated with the Poisson semigroup for the Hermite operator on functions with values in a UMD Banach space $\B.$ If we de…