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Multipliers on weighted Hardy spaces over locally compact Vilenkin groups, I

Part of: Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

C. W. Onneweer  and
T. S. Quek
C. W. Onneweer
Affiliation:
Department of Mathematics and Statistics University of New MexicoAlbuquerque, New Mexico 87131, U.S.A.
T. S. Quek
Affiliation:
Department of Mathematics National University of SingaporeSingapore 0511 Republic of, Singapore
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Abstract

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Let G denote a locally compact Vilenkin group with dual group Γ. We give sufficient conditions for a function ϕ ∈ L∞ (Γ) to be a multiplier from the power-weighted Hardy space to itself or the corresponding power-weighted Lebesgue space

MSC classification

Secondary: 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc. 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc. 43A70: Analysis on specific locally compact and other abelian groups

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 3 , June 1990 , pp. 472 - 496
Copyright
Copyright © Australian Mathematical Society 1990

References

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