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math.CA2012★ 2 cited
-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators
Jorge J. Betancor, Alejandro J. Castro, Pablo L. De Nápoli +2
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 t…
math.CA2012★ 4 cited
-radonifying operators and UMD-valued Littlewood-Paley-Stein functions in the Hermite setting on BMO and Hardy spaces
Jorge J. Betancor, Alejandro J. Castro, Jezabel Curbelo +2
In this paper we study Littlewood-Paley-Stein functions associated with the Poisson semigroup for the Hermite operator on functions with values in a UMD Banach space $\B.$ If we de…