A characterization of Lipschitz classes on finite dimensional groups

Bloom, Walter R.

doi:10.1090/S0002-9939-1976-0417654-2

A characterization of Lipschitz classes on finite dimensional groups
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by Walter R. Bloom PDF

Proc. Amer. Math. Soc. 59 (1976), 297-304 Request permission

Abstract:

An analogue of a theorem of S. N. Bernstein is developed for certain metric locally compact abelian groups. This, together with a corresponding Jackson-type theorem, gives a characterisation in terms of their Fourier transforms of the Lipschitz functions defined on a compact abelian group with finite topological dimension.

References

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