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arXiv:0912.3010 [math.CA]AbstractReferencesReviewsResources

A Calderon Zygmund decomposition for multiple frequencies and an application to an extension of a lemma of Bourgain

Fedor Nazarov, Richard Oberlin, Christoph Thiele

Published 2009-12-15Version 1

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.

Comments: 16 pages
Categories: math.CA
Subjects: 42B20
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