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arXiv · 1110.5659

Calder\'on-Zygmund operators in the Bessel setting for all possible type indices

Alejandro J. Castro·Tomasz Z. Szarek
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Abstract

In this paper we adapt the technique developed in [17] 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 [7], which are valid only for a restricted range of $\lambda$.

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Alejandro J. Castro, Tomasz Z. Szarek. 2011-10-25. Calder\'on-Zygmund operators in the Bessel setting for all possible type indices. https://doi.org/10.1007/s10114-014-2326-1

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