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math.CA2013★ 3 cited
UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces
J. J. Betancor, A. J. Castro, L. Rodríguez-Mesa
We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions associated with Poisson semigroups for Bessel operators are defined by using fractional deriv…
math.CA2013★ 3 cited
Square functions and spectral multipliers for Bessel operators in UMD spaces
Jorge J. Betancor, Alejandro J. Castro, Lourdes Rodriguez-Mesa
In this paper we consider square functions (also called Littlewood-Paley g-functions) associated to Hankel convolutions acting on functions in the Bochner-Lebesgue space $L^p((0,\i…