In this paper we establish a Liouville theorem in (Formula presented.) for a wider class of operators in (Formula presented.) that generalizes the n-dimensional Bessel operator. We will present two different proofs, based ...

In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type $ (1,1)$. Our results include other ...

We obtain sharp power-weighted L p , 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 ...

We introduce generalizations of Bessel potentials by considering operators of the form ℓ [(I - Δ) -1/2] where the functions ℓ extend the classical power case. The kernel of such an operator is subordinate to a growth ...

In this paper we study boundedness properties of certain harmonic analysis operators (maximal operators for heat and Poisson semigroups, Riesz transforms and Littlewood–Paley g-functions) associated with Bessel operators, ...

In this paper we study boundedness properties of certain harmonic analysis operators (maximal operators for heat and Poisson semigroups, Riesz transforms and Littlewood– Paley g-functions) associated with Bessel operators, ...

In this article we prove dimension free $L^p$?boundedness of Riesz transforms associated with a Bessel differential operator. We obtain explicit estimates of the $L^p$?norms for the Bessel?Riesz transforms in terms of $p$, ...

This article deals with certain kind of potential operator defined as convolution with the generalized function Wα (P ± i0,m,n)depending on a complex parameter α and a real non negative one m. The definitory formulae ...

In this paper, we study a version of the n-dimensional Hankel transform on certain spaces ℋμ which were studied in [Molina, S., 2003, A generalization of the spaces ℋμ and and the space of multipliers. Actas del VII ...