Calderón-Zygmund operators in the Bessel setting for all possible type indices

Details Calderón-Zygmund operators in the Bessel setting for all possible type indices Calderón-Zygmund operators in the Bessel setting for all possible type indices

2011-10-25

arxiv.org/abs/1110.5659v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

In this paper we adapt the technique developed in [5] to show that many harmonic analysis operators in the Bessel setting, including maximal operators, Littlewood-Paley-Stein type square functions, multipliers of Laplace or Laplace-Stieltjes transform type and Riesz transforms are, or can be viewed as, Calder\'on-Zygmund operators for all possible values of type parameter $\lambda$ in this context. This extends the results obtained recently in [3], which are valid only for a restricted range of $\lambda$.

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