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S and g*λ-functions on compact Lie groups

Part of: Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

Brian E. Blank  and
Dashan Fan
Brian E. Blank
Affiliation:
Departemt of Mathematics Washington UniversitySt. Louis, MO 63130, USA
Dashan Fan
Affiliation:
Departent of Mathematics University of Wisconsin-MilwaukeeMilwaukee, WI 53201, USA
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Abstract

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We characterize the Hardy spaces Hp(G) of a compact Lie groupG by means of S-functions in analogy with the theorem of Fefferman-Stein for Rn. We also characterize Hp(G) by means of the -functions.

MSC classification

Secondary: 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc. 43A17: Analysis on ordered groups, $H^p$-theory 43A75: Analysis on specific compact groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 3 , December 1996 , pp. 327 - 344
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Blank, B. and Fan, D., ‘Hardy spaces on compact Lie groups’, submitted.Google Scholar
[2]Clerc, J. L., ‘Bochner-Riesz means of H p functions (0 < p ≤ 1)’, in: Lecture Notes in Mathematics 1234 (Springer, New York, 1987) pp. 86–107.Google Scholar
[3]Coifman, R. and Weiss, G., ‘Extensions of Hardy spaces and their use in analysis’, Bull. Amer. Math. Soc. 83 (1977), 569–645.CrossRefGoogle Scholar
[4]Fefferman, C. and Stein, E. M., ‘H p spaces of several variables’, Acta. Math. 129 (1972), 137–193.CrossRefGoogle Scholar
[5]Folland, G. B. and Stein, E. M., Hardy spaces on homogeneous groups (Princeton University Press, Princeton, 1982).Google Scholar
[6]Weiss, N., ‘L pestimates for bi-invariant operators on compact Lie groups’, Amer. J. Math. XCIV (1972), 103–118.CrossRefGoogle Scholar