Mapping properties of fundamental operators in harmonic analysis related to Bessel operators

Mathematics – Classical Analysis and ODEs

Scientific paper

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31 pages with 2 figures

Scientific paper

We prove sharp power-weighted strong type, weak type and restricted weak type
inequalities for the heat and Poisson integral maximal operators, Riesz
transform and a Littlewood-Paley type square function, emerging naturally in
the harmonic analysis related to Bessel operators.

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