Geodesic
The Dual of Kawazoe's Atomic Hardy Space H1p,0
Journal of Lie Theory, Tome 18 (2008) no. 1, pp. 181-191

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Zbl

The purpose of this paper is to determine the dual of Kawazoe's atomic Hardy space for semisimple Lie groups. The conclusion is that it consists of functions, whose translates satisfy conditions which are similar to the conditions for Goldberg's Euclidean local bmo-space. We will also find the duals of the corresponding K-invariant and K-bi-invariant spaces.
Classification : 43A15, 22E30
Mots-clés : Hardy space, BMO, semisimple Lie group 
A. Nilsson. The Dual of Kawazoe's Atomic Hardy Space H1p,0. Journal of Lie Theory, Tome 18 (2008) no. 1, pp. 181-191. http://geodesic.mathdoc.fr/item/JOLT_2008_18_1_a10/
@article{JOLT_2008_18_1_a10,
     author = {A. Nilsson},
     title = {The {Dual} of {Kawazoe's} {Atomic} {Hardy} {Space} {H\protect\textsuperscript{1}\protect\textsubscript{p,0}}},
     journal = {Journal of Lie Theory},
     pages = {181--191},
     year = {2008},
     volume = {18},
     number = {1},
     zbl = {1155.43002},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2008_18_1_a10/}
}
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