Geodesic
Lp-Boundedness of Flag Kernels on Homogeneous Groups via Symbolic Calculus
Pawel Glowacki1
1Institute of Mathematics, University of Wroclaw, pl. Grunwaldzki 2/4, 51-386 Wroclaw, Poland
Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 953-977

Voir la notice de l'article provenant de la source Heldermann Verlag

We prove that the flag kernel singular integral operators of Nagel-Ricci-Stein on a homogeneous group are bounded on Lp, 1<p<∞. The gradation associated with the kernels is the natural gradation of the underlying Lie algebra. Our main tools are the Littlewood-Paley theory and a symbolic calculus combined in the spirit of Duoandikoetxea and Rubio de Francia.
Classification : 42B20, 42B25
Mots-clés : Homogeneous groups, singular integrals, multipliers, flag kernels, Fourier transform, maximal functions, L-p-spaces, Littlewood-Paley theory

Pawel Glowacki  1

1 Institute of Mathematics, University of Wroclaw, pl. Grunwaldzki 2/4, 51-386 Wroclaw, Poland 
Pawel Glowacki. Lp-Boundedness of Flag Kernels on Homogeneous Groups via Symbolic Calculus. Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 953-977. http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a3/
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     author = {Pawel Glowacki},
     title = {L\protect\textsuperscript{p}-Boundedness of {Flag} {Kernels} on {Homogeneous} {Groups} via {Symbolic} {Calculus}},
     journal = {Journal of Lie Theory},
     pages = {953--977},
     year = {2013},
     volume = {23},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a3/}
}
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