Geodesic
Inequalities for second-order Riesz transforms associated with Bessel expansions
Adam Osękowski1
1 Faculty of Mathematics, Informatics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland <a href="https://orcid.org/0000-0002-8905-2418">ORCID: 0000-0002-8905-2418</a>
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 68 (2020) no. 1, pp. 75-88.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 representation of Riesz transforms via associated Bessel-heat processes, we show that these estimates hold with constants independent of the dimension.
DOI : 10.4064/ba200302-5-10
Keywords: paper contains proofs logarithmic weak type estimates second order riesz transforms arising context multidimensional bessel expansions using novel probabilistic approach which rests martingale methods representation riesz transforms via associated bessel heat processes these estimates constants independent dimension

Adam Osękowski 1

1 Faculty of Mathematics, Informatics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland <a href="https://orcid.org/0000-0002-8905-2418">ORCID: 0000-0002-8905-2418</a> 
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Adam Osękowski. Inequalities for second-order Riesz transforms associated with Bessel expansions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 68 (2020) no. 1, pp. 75-88. doi : 10.4064/ba200302-5-10. http://geodesic.mathdoc.fr/articles/10.4064/ba200302-5-10/

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