Geodesic
On Weighted Norms of Riesz Transforms Equal to One
Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 869-882 
E. A. Kalita. On Weighted Norms of Riesz Transforms Equal to One. Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 869-882. http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a7/
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     author = {E. A. Kalita},
     title = {On {Weighted} {Norms} of {Riesz} {Transforms} {Equal} to {One}},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the vector Riesz transform $\nabla ^t\Delta ^{-(t+s)/2}\operatorname {div}^s$ of even order $s+t$ in the weighted space$L_2(\mathbb R^n;|x|^a)$. We establish that for $t\ne s$, $n>3$ its norm is equal to one on some interval of values of $a$, while inside the interval a stronger estimate for a subordinate norm is valid.

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[2] Kalita E. A., “Razreshimost nelineinykh ellipticheskikh sistem v prostranstvakh slabee estestvennogo energeticheskogo”, Izv. RAN. Ser. matem., 61:2 (1997), 53–80 | MR | Zbl

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