27 citations · 53 across the 8 of their papers we have counts for
8 papers
Maximal operator, Littlewood-Paley functions and variation operators associated with nonsymmetric Ornstein-Uhlenbeck operators
Víctor Almeida, Jorge J. Betancor, Pablo Quijano +1
In this paper we establish boundedness properties for maximal operators, Littlewood-Paley functions and variation operators involving Poisson semigroups and resolvent operato…
--boundedness of Stein's square functions associated to Fourier--Bessel expansions
Víctor Almeida, Jorge J. Betancor, Estefanía Dalmasso +1
In this paper we prove estimates for Stein's square functions associated to Fourier-Bessel expansions. Furthermore we prove transference results for square functions from Fou…
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…
The fractional Bessel equation in Hölder spaces
J. J. Betancor, A. J. Castro, P. R. Stinga
Motivated by the Poisson equation for the fractional Laplacian on the whole space with radial right hand side, we study global Hölder and Schauder estimates for a fractional Bessel…
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…
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…