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On the theory of homogeneous Lipschitz spaces and mean oscillation spaces

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Abstract

In this paper the equivalence between the mean oscillation spaces and the homogeneous Lipschitz spaces will be shown through the use of elementary and constructive means. The mean oscillation spaces have been previously defined by Ricci and Taibleson for the case where the dimensionn=1. These spaces are extended here in a natural way to IRn.

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  1. Mathematics Department California Polytechnic, State University, 93407, San Luis Obiopo, California

    Harvey Greenwald

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  1. Harvey Greenwald
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Greenwald, H. On the theory of homogeneous Lipschitz spaces and mean oscillation spaces. Rend. Circ. Mat. Palermo 33, 211–221 (1984). https://doi.org/10.1007/BF02844615

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  • DOI: https://doi.org/10.1007/BF02844615

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