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Title: Fourier multipliers on weighted LP-spaces
Authors: Quek, T.S. 
Keywords: Fourier multipliers
Singular integral operators
Weighted Lp-spaces
Issue Date: 1999
Citation: Quek, T.S. (1999). Fourier multipliers on weighted LP-spaces. Proceedings of the American Mathematical Society 127 (8) : 2343-2351. ScholarBank@NUS Repository.
Abstract: In his 1986 paper in the Rev. Mat. Iberoamericana, A. Carbery proved that a singular integral operator is of weak type (p, p) on LP(ℝn) if its lacunary pieces satisfy a certain regularity condition. In this paper we prove that Carbery's result is sharp in a certain sense. We also obtain a weighted analogue of Carbery's result. Some applications of our results are also given. © 1999 American Mathematical Society.
Source Title: Proceedings of the American Mathematical Society
ISSN: 00029939
Appears in Collections:Staff Publications

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