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arXiv · 1012.5638

Calder\'on-Zygmund operators in the Bessel setting

Jorge J. Betancor·Alejandro J. Castro·Adam Nowak
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Abstract

We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein square functions, multipliers of Laplace transform type and Riesz transforms. We show that these are (vector-valued) Calder\'on-Zygmund operators in the sense of the associated space of homogeneous type, and hence their mapping properties follow from the general theory.

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Jorge J. Betancor, Alejandro J. Castro, Adam Nowak. 2010-12-27. Calder\'on-Zygmund operators in the Bessel setting. https://doi.org/10.1007/s00605-011-0348-7

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