Journal of Lie Theory

no. 1
The Dual of Kawazoe's Atomic Hardy Space H1p,0
Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 181-191
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.
DOI: 10.5802/jolt.488
Classification: 43A15, 22E30
Keywords: Hardy space, BMO, semisimple Lie group 
@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},
     doi = {10.5802/jolt.488},
     zbl = {1155.43002},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.488/}
}
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A. Nilsson. The Dual of Kawazoe's Atomic Hardy Space H1p,0. Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 181-191. doi: 10.5802/jolt.488

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