36 citations · 234 across the 37 of their papers we have counts for
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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…
UMD Banach spaces and the maximal regularity for the square root of several operators
Víctor Almeida, Jorge J. Betancor, Alejandro J. Castro
In this paper we prove that the maximal -regularity property on the interval , , for Cauchy problems associated with the square root of Hermite, Bessel or Laguerre…
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…