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|Title:||Fourier multipliers on weighted LP-spaces|
Singular integral operators
|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|
|Appears in Collections:||Staff Publications|
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