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Lp-multipliers of mixed-norm type on locally compact Vilenkin groups
Published online by Cambridge University Press: 09 April 2009
Abstract
Let G be a locally compact Vilenkin group with dual group Γ. We prove Littlewood-Paley type inequalities corresponding to arbitrary coset decompositions of Γ. These inequalities are then applied to obtain new Lp(G) multiplier theorems. The sharpness of some of these results is also discussed.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 65 , Issue 3 , December 1998 , pp. 370 - 387
- Copyright
- Copyright © Australian Mathematical Society 1998
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