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|Title:||Littlewood-Paley and multiplier theorems on weighted spaces over locally compact Vilenkin groups|
|Authors:||Quek, T. S.|
|Source:||Quek, T. S. (1997-06-15). Littlewood-Paley and multiplier theorems on weighted spaces over locally compact Vilenkin groups. Journal of Mathematical Analysis and Applications 210 (2) : 742-754. ScholarBank@NUS Repository.|
|Abstract:||We extend the Littlewood-Paley theorem to Lp w(G), where G is a locally compact Vilenkin group and w are weights satisfying the Muckenhoupt Ap condition. As an application we obtain a mixed-norm type multiplier result on Lp w(G) and prove the sharpness of our result. We also obtain a sufficient condition for φ ∈ L∞(Γ) to be a multiplier on the power weighted Lp α(G) in terms of its smoothness condition. © 1997 Academic Press.|
|Source Title:||Journal of Mathematical Analysis and Applications|
|Appears in Collections:||Staff Publications|
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