J Austral Math Soc Ser A 58 pp200--209, 1995.

Characterization of Lipschitz Spaces on Compact Lie Groups

Dashan Fan and Zengfu Xu

(Received 13 April 1992; revised 7 August 1992)

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 tis paper we give some characterizations for Lipschitz spaces on compact Lie groups, which are analogues of results in Euclidean spaces.

1991 AMS Subject Classification: 43A15, 22E30, 41A25, 41A30

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Authors

Dashan Fan
Department of Mathematical Sciences, University of Wisconsin, PO Box 413, Milwaukee, WI 53201, USA.
Zengfu Xu
Mathematics - MPS, Murdoch University, Murdoch, WA 6150, Australia.

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