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Saturation on locally compact abelian groups

Part of: Approximations and expansions Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

Walter R. Bloom  and
Joseph F. Sussich
Walter R. Bloom
Affiliation:
School of Mathematical and Physical Sciences Murdoch UniversityPerth, Western Australia 6150, Australia
Joseph F. Sussich
Affiliation:
School of Mathematical and Physical Sciences Murdoch UniversityPerth, Western Australia 6150, Australia
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Abstract

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Let G be a locally compact abeian group, (μρ) a net of bounded Radon measures on G. In this paper we consider conditions under which (μρ) is saturated in Lp (G) and apply these results to the Fejér and Picard approximation processes.

MSC classification

Secondary: 41A40: Saturation 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 2 , April 1985 , pp. 255 - 267
Copyright
Copyright © Australian Mathematical Society 1985

References

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