36 citations · 136 across the 59 of their papers we have counts for
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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…
Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in hte Hermite setting
J. J. Betancor, J. C. Fariña, A. Ssnabria
In this paper we find new equivalent norms in by using multivariate Littlewood-Paley functions associated with Poisson semigroup for the Hermite oper…
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…