3 papers
math.CA2021
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…
math.CA2021
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…
math.CA2020
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^…