4 citations · 12 across the 15 of their papers we have counts for
16 papers
Harmonic analysis operators in the rational Dunkl settings
Víctor Almeida, Jorge J. Betancor, Juan C. Fariña +1
In this paper we study harmonic analysis operators in Dunkl settings associated with finite reflection groups on Euclidean spaces. We consider maximal operators, Littlewood-Paley f…
Variation and oscillation operators on weighted Morrey-Campanato spaces in the Schrödinger setting
Víctor Almeida, Jorge Betancor, Juan C. Fariña +1
Let be the Schrödinger operator with potential , that is, , where it is assumed that satisfies a reverse Hölder inequality. We consider weight…
Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
Víctor Almeida, Jorge J. Betancor, Juan C. Fariña +2
In this paper we establish -boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here $γ…
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…
BMO functions and Balayage of Carleson measures in the Bessel setting
Víctor Almeida, Jorge J. Betancor, Alejandro J. Castro +2
By we denote the space consisting of all those odd and bounded mean oscillation functions on R. In this paper we characterize the functions in with bounded su…
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…
Variable exponent Hardy spaces associated with discrete Laplacians on graphs
Víctor Almeida, Jorge J. Betancor, Alejandro J. Castro +1
In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atom…
Molecules associated to Hardy spaces with pointwise variable anisotropy
Víctor Almeida, Jorge J. Betancor, Lourdes Rodríguez-Mesa
In this paper we introduce molecules associated to Hardy spaces with pointwise variable anisotropy, and prove that each molecule can be represented as a sum of atoms.
Anisotropic Hardy-Lorentz spaces with variable exponents
V. Almeida, J. J. Betancor, L. Rodríguez
In this paper we introduce Hardy-Lorentz spaces with variable exponents associated to dilation in . We establish maximal characterizations and atomic decompositions for…
Variable exponent Sobolev spaces associated with Jacobi expansions
V. Almeida, J. J. Betancor, A. J. Castro +2
In this paper we define variable exponent Sobolev spaces associated with Jacobi expansions. We prove that our generalized Sobolev spaces can be characterized as variable exponent p…
Riesz transforms and multipliers for the Bessel-Grushin operator
Víctor Almeida, Jorge J. Betancor, Alejandro J. Castro +1
We establish that the spectral multiplier associated to the differential operator $$ G_α=- Δ_x +\sum_{j=1}^m{{α_j^2-1/4}\over{x_j^2}}-|x|^2 Δ_y \; \text{on} (0,\inf…
UMD Banach spaces and the maximal regularity for the square root of several operators
Víctor Almeida, Jorge J. Betancor, Alejandro J. Castro
In this paper we prove that the maximal -regularity property on the interval , , for Cauchy problems associated with the square root of Hermite, Bessel or Laguerre…