238 citations · 376 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
-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…
Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators
Jorge J. Betancor, Alejandro J. Castro, Jezabel Curbelo +1
In this paper we characterize the Banach spaces with the UMD property by means of Lp-boundedness properties for the imaginary powers of the Hermite and Laguerre operators. In order…
Hankel Multipliers of Laplace Transform Type
J. J. Betancor, A. J. Castro, J. Curbelo
In this paper we prove that the Hankel multipliers of Laplace transform type on are of weak type (1,1). Also we analyze Lp-boundedness properties for the imaginary powers…
Harmonic Analysis Operators Associated with Multidimensional Bessel Operators
J. J. Betancor, A. J. Castro, J. Curbelo
In this paper we establish that the maximal operator and the Littlewood-Paley g-function associated with the heat semigroup defined by multidimensional Bessel operators are of weak…