7 citations · 31 across the 17 of their papers we have counts for
18 papers
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…
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…
UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces
J. J. Betancor, A. J. Castro, L. Rodríguez-Mesa
We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions associated with Poisson semigroups for Bessel operators are defined by using fractional deriv…
Square functions and spectral multipliers for Bessel operators in UMD spaces
Jorge J. Betancor, Alejandro J. Castro, Lourdes Rodriguez-Mesa
In this paper we consider square functions (also called Littlewood-Paley g-functions) associated to Hankel convolutions acting on functions in the Bochner-Lebesgue space $L^p((0,\i…
UMD Banach spaces and square functions associated with heat semigroups for Schrödinger and Laguerre operators
J. J. Betancor, A. J. Castro, J. C. Fariña +1
In this paper we define square functions (also called Littlewood-Paley-Stein functions) associated with heat semigroups for Schrödinger and Laguerre operators acting on functions w…
Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions
Jorge J. Betancor, Alejandro J. Castro, Lourdes Rodríguez-Mesa
In this paper we consider the space of bounded mean oscillations and odd functions on taking values in a UMD Banach space . The functions in $…
Multipliers and imaginary powers of the schrödinger operators characterizing UMD Banach spaces
J. J. Betancor, R. Crescimbeni, J. C. FariÑa +1
In this paper we establish -boundedness properties for Laplace type transform spectral multipliers associated with the Schrödinger operator . We obtain for t…
Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators
Jorge J. Betancor, Alejandro J. Castro, Jezabel Curbelo +1
In this paper we characterize the Banach spaces with the UMD property by means of Lp-boundedness properties for the imaginary powers of the Hermite and Laguerre operators. In order…
Variation operators on in the Schrödinger setting
J. J. Betancor, J. C. Fariña, E. Harboure +1
In this paper we prove that the variation operators associated with the heat semigroup and Riesz transforms related to the Schrödinger operator are bounded on the suitable ty…
-boundeness properties of variation operators in the Schrodinger setting
J. J. Betancor, J. C. Fariña, E. Harboure +1
In this paper we establish the -boundedness properties of the variation operators associated with the heat semigroup, Riesz transforms and commutator between Riesz transforms…
Higher order Riesz transforms in the ultraspherical setting as principal value integral operators
Jorge J. Betancor, Juan C. Fariña, Lourdes Rodríguez-Mesa +1
In this paper we represent the -th Riesz transform in the ultraspherical setting as a principal value integral operator for every . We also measure the speed of…
Area Littlewood-Paley functions associated with Hermite and Laguerre operators
J. J. Betancor, S. M. Molina, L. Rodriguez-Mesa
In this paper we study Lp-boundedness properties for area Littlewood-Paley functions associated with heat semigroups for Hermite and Laguerre operators
Higher Order Riesz Transforms for Laguerre Expansions
Jorge J. Betancor, Juan C. Fariña, Lourdes Rodriguez-Mesa +1
In this paper we investigate Lp-boundedness properties for the higher order Riesz transforms associated with Laguerre operators. Also we prove that the k-th Riesz transform is a pr…