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
Let G be a locally compact Vilenkin group with dual group . We prove Littlewood-Paley type inequalities corresponding to arbitrary coset decompositions of . These inequalities are then applied to obtain new Lp(G) multiplier theorems. The sharpness of some of these results is also discussed.
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