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Weighted norm inequalities for the g-Littlewood-Paley operators associated with Laplace-Bessel differential operators

Weighted norm inequalities for the g-Littlewood-Paley operators associated with Laplace-Bessel differential operators

In this work we define and study Poisson integral associated with Laplace-Bessel differential operators.We establish weighted inequalities with a general weight for the g -Littlewood-Paley functions and the commutator g b,k defined by (1.2) associated with Laplace Bessel differential operator.