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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.CA2021
Littlewood-Paley-Stein theory and Banach spaces in the inverse Gaussian setting
V. Almeida, J. J. Betancor, J. C. Fariña +1
In this paper we consider Littlewood-Paley functions defined by the semigroups associated with the operator in the inverse Gaussian setting for Ban…