36 citations · 136 across the 59 of their papers we have counts for
6 papers · 1 filter
Calderón-Zygmund operators in the Bessel setting
Jorge J. Betancor, Alejandro J. Castro, Adam Nowak
We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein…
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…
Harmonic Analysis Operators Associated with Multidimensional Bessel Operators
J. J. Betancor, A. J. Castro, J. Curbelo
In this paper we establish that the maximal operator and the Littlewood-Paley g-function associated with the heat semigroup defined by multidimensional Bessel operators are of weak…
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