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S and g*λ-functions on compact Lie groups

  • Brian E. Blank (a1) and Dashan Fan (a2)

Abstract

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.

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References

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[1]Blank, B. and Fan, D., ‘Hardy spaces on compact Lie groups’, submitted.
[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. 86107.
[3]Coifman, R. and Weiss, G., ‘Extensions of Hardy spaces and their use in analysis’, Bull. Amer. Math. Soc. 83 (1977), 569645.
[4]Fefferman, C. and Stein, E. M., ‘H p spaces of several variables’, Acta. Math. 129 (1972), 137193.
[5]Folland, G. B. and Stein, E. M., Hardy spaces on homogeneous groups (Princeton University Press, Princeton, 1982).
[6]Weiss, N., ‘L pestimates for bi-invariant operators on compact Lie groups’, Amer. J. Math. XCIV (1972), 103118.
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S and g*λ-functions on compact Lie groups

  • Brian E. Blank (a1) and Dashan Fan (a2)

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