10 citations · 19 across the 7 of their papers we have counts for
8 papers
Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination
Víctor Almeida, Jorge J. Betancor, Juan C. Fariña +1
In this paper we obtain quantitative weighted -inequalities for some operators involving Bessel convolutions. We consider maximal operators, Littlewood-Paley functions and var…
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials
Víctor Almeida, Jorge J. Betancor, Lourdes Rodríguez-Mesa
By we denote the semigroup of operators generated by the Friedrichs extension of the Schrödinger operator with the inverse square potential $L_a=-Δ+\frac{a}{|x|^2…
Higher order Riesz transforms in the inverse Gaussian setting and UMD Banach spaces
Jorge J. Betancor, Lourdes Rodríguez-Mesa
In this paper we study higher order Riesz transforms associated with the inverse Gaussian measure given by on . We establish $L^p(\mathbb{R}^n,e^…
Solutions of Weinstein equations representable by Bessel Poisson integrals of BMO functions
Jorge J. Betancor, Alejandro J. Castro, Juan C. Fariña +1
We consider the Weinstein type equation on , where , with . In…
Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces
Jorge J. Betancor, Alejandro J. Castro, Juan C. Fariña +1
In this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger settings where the functions take values in UMD Banach spaces. Following a recent paper o…
-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…
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
Jorge J. Betancor, Alejandro J. Castro, Lourdes Rodríguez-Mesa
In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associat…