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Characterization of lipschitz spaces on compact Lie groups

  • Dashan Fan (a1) and Zengfu Xu (a2)

Abstract

Lipschitz spaces are important function spaces with relations to Hp spaces and Campanato spaces, the other two important function spaces in harmonic analysis. In this paper we give some characterizations for Lipschitz spaces on compact Lie groups, which are analogues of results in Euclidean spaces.

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References

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[1]Fan, D., Hardy spaces on compact Lie groups (PhD thesis, Washington University, St. Louis, 1990).
[2]Krantz, S. G., ‘Structure and interpolation theorems for certain Lipschitz spaces and estimates for the ∂ equation’, Duke Math. J. 43 (1976), 417439.
[3]Frazier, M., Jawerth, B. and Weiss, G., ‘Littlewood-Paley theory and the study of function spaces’, CBMS Regional Conf. Ser. in Math. 79 (Conf. Board Math. Sci, Washington D.C).
[4]Stein, E. M., Singular integrals and differentiability properties of functions (Princeton University Press, Princeton, 1970).
[5]Varadarajan, V. S., Lie groups, Lie algebras and their representations (Springer, Berlin, 1984).
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Characterization of lipschitz spaces on compact Lie groups

  • Dashan Fan (a1) and Zengfu Xu (a2)

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