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Multipliers of weak type on locally compact Vilenkin groups |
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| Authors: | T S Quek |
| Institution: | Department of Mathematics, National University of Singapore, Singapore 0511, Republic of Singapore |
| Abstract: | Let  be a locally compact Vilenkin group with dual group  . We give a sufficient condition for  to be a multiplier of weak type  on  . Some applications of our result are given. We also prove that our result is sharp. |
| Keywords: | Vilenkin groups Fourier multipliers Lipschitz spaces |
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