Journal article
Generalized Lipschitz Spaces on Vilenkin Groups
Mathematische Nachrichten, Vol.132(1), pp.67-80
1987
Abstract
It is shown that, for certain choices of the defining indices, the generalized Lipschitz spaces on Vilenkin groups are included in certain Figà-Talamanca spaces Ap, and that the Fourier series of functions in the latter spaces converge uniformly. This result includes an extension of the classical Dini test, and endpoint versions of Bernstein's theorem on absolute convergence of Fourier series.
Details
- Title
- Generalized Lipschitz Spaces on Vilenkin Groups
- Authors/Creators
- W.R. Bloom (Author/Creator) - Murdoch UniversityJ.J.F. Fournier (Author/Creator) - University of British Columbia
- Publication Details
- Mathematische Nachrichten, Vol.132(1), pp.67-80
- Publisher
- Wiley
- Identifiers
- 991005545107107891
- Copyright
- © 1987 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- 9 Mathematics
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- ESI research areas
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