Riesz transforms associated to Bessel operators

Villani, Michaël

Illinois J. Math., Tome 52 (2008) no. 1, p. 77-89 / Harvested from Project Euclid

Résumé

For ν>0, we consider the Bessel operator S_ν defined on L²(ℝ⁺, x^2ν dx) by $S_{\nu}=-\frac{d^{2}}{\,dx^{2}}-\frac{2\nu}{x}\frac{d}{dx}$ . We prove, in a simple way, that the Riesz transform associated to S_ν is bounded on L^p(ℝ⁺, x^2ν dx), 1

Publié le : 2008-05-15
Classification: 44A15

@article{1242414122,
     author = {Villani, Micha\"el},
     title = {Riesz transforms associated to Bessel operators},
     journal = {Illinois J. Math.},
     volume = {52},
     number = {1},
     year = {2008},
     pages = { 77-89},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1242414122}
}

Villani, Michaël. Riesz transforms associated to Bessel operators. Illinois J. Math., Tome 52 (2008) no. 1, pp.  77-89. http://gdmltest.u-ga.fr/item/1242414122/