Journal of the Australian Mathematical Society - Series A Vol. 65 Part 3 (1998) Lp-multipliers of mixed-norm type on locally compact Vilenkin groups C. W. Onneweer Department of Mathematics University of New Mexico Albuquerque, NM 87131 USA e-mail: onneweer@math.unm.edu and T. S. Quek Department of Mathematics National University of Singapore Singapore 119260 Republic of Singapore e-mail: matqts@leonis.nus.sg Abstract: Let G be a locally compact Vilenkin group with dual group $\Gamma$. We prove Littlewood-Paley type inequalities corresponding to arbitrary coset decompositions of $\Gamma$. These inequalities are then applied to obtain new Lp(G) multiplier theorems. The sharpness of some of these results is also discussed. PDF file size: 108K © Copyright 1998, Australian Mathematical Society