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20 April 2024

» arxiv » 0912.3010

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A Calderon Zygmund decomposition for multiple frequencies and an application to an extension of a lemma of Bourgain
Fedor Nazarov ; Richard Oberlin ; Christoph Thiele ;
Date:	15 Dec 2009
Abstract:	We introduce a Calderon Zygmund decomposition such that the bad function has vanishing integral against a number of pure frequencies. Then we prove a variation norm variant of a maximal inequality for several frequencies due to Bourgain. To obtain the full range of Lp estimates we apply the multi frequency Calderon Zygmund decomposition.
Source:	arXiv, 0912.3010
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