7 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…
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…
Variation and oscillation for harmonic operators in the inverse Gaussian setting
Víctor Almeida, Jorge J. Betancor
We prove variation and oscillation -inequalities associated with fractional derivatives of certain semigroups of operators and with the family of truncations of Riesz transfor…
Discrete Hardy spaces and heat semigroup associated with the discrete Laplacian
Víctor Almeida, Jorge J. Betancor, Lourdes Rodríguez Mesa
In this paper we study the behavior of some harmonic analysis operators associated with the discrete Laplacian in discrete Hardy spaces . We prove th…
Local Hardy spaces with variable exponents associated to non-negative self-adjoint operators satisfying Gaussian estimates
Víctor Almeida, Jorge J. Betancor, Estefanía Dalmasso +1
In this paper we introduce variable exponent local Hardy spaces associated with a non-negative self-adjoint operator L. We define them by using an area square integral involving th…