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math.CA2010★ 36 cited
Calderón-Zygmund operators in the Bessel setting
Jorge J. Betancor, Alejandro J. Castro, Adam Nowak
We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein…
math.CA2010★ 27 cited
Hankel Multipliers of Laplace Transform Type
J. J. Betancor, A. J. Castro, J. Curbelo
In this paper we prove that the Hankel multipliers of Laplace transform type on are of weak type (1,1). Also we analyze Lp-boundedness properties for the imaginary powers…
math.CA2010★ 19 cited
Harmonic Analysis Operators Associated with Multidimensional Bessel Operators
J. J. Betancor, A. J. Castro, J. Curbelo
In this paper we establish that the maximal operator and the Littlewood-Paley g-function associated with the heat semigroup defined by multidimensional Bessel operators are of weak…