Mapping properties of fundamental operators in Harmonic Analysis related to the Bessel operators

BETANCOR, J.; HARBOURE, E; NOWAK, A.; VIVIANI, B.

STUDIA MATHEMATICA

POLISH ACAD SCIENCES INST MATHEMATICS

Año: 2009

0039-3223

Abstract. We obtain sharp power-weighted Lp, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood–Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood–Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood–Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood–Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators We obtain sharp power-weighted Lp, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood–Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators