Geodesic
Boundedness of Hausdorff Operators on Hardy Spaces over Homogeneous Spaces of Lie Groups
Adolf R. Mirotin1
1Dept. of Mathematics and Programming Technologies, Francisk Skorina Gomel State University, Sovietskaya 104, Gomel 246019, Belarus
Journal of Lie Theory, Tome 31 (2021) no. 4, pp. 1015-1024

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

The aim of this note is to give boundedness conditions for Hausdorff operators on Hardy spaces H1 with the norm defined via (1,q) atoms over homogeneous spaces of Lie groups with doubling property and to apply the obtained results to generalized Delsarte operators and to Hausdorff operators over multidimensional spheres.
Classification : 43A85, 47G10, 22E30
Mots-clés : Hausdorff operator, Lie group, homogeneous space, Hardy space, generalized shift operator of Delsarte

Adolf R. Mirotin  1

1 Dept. of Mathematics and Programming Technologies, Francisk Skorina Gomel State University, Sovietskaya 104, Gomel 246019, Belarus 
Adolf R. Mirotin. Boundedness of Hausdorff Operators on Hardy Spaces over Homogeneous Spaces of Lie Groups. Journal of Lie Theory, Tome 31 (2021) no. 4, pp. 1015-1024. http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a7/
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     title = {Boundedness of {Hausdorff} {Operators} on {Hardy} {Spaces} over {Homogeneous} {Spaces} of {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {1015--1024},
     year = {2021},
     volume = {31},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a7/}
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