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Inequalities for second-order Riesz transforms associated with Bessel expansions

Inequalities for second-order Riesz transforms associated with Bessel expansions

The paper contains the proofs of $L^p$, logarithmic and weak-type estimates for the second-order Riesz transforms arising in the context of multidimensional Bessel expansions. Using a novel probabilistic approach, which rests on martingale methods and the