36 citations · 234 across the 37 of their papers we have counts for
4 papers · 2 filters
On fundamental harmonic analysis operators in certain Dunkl and Bessel settings
Alejandro J. Castro, Tomasz Z. Szarek
We consider several harmonic analysis operators in the multi-dimensional context of the Dunkl Laplacian with the underlying group of reflections isomorphic to (als…
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-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…