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A remark on circular means of Fourier transforms of measures

Terence Tao

Published 2000-01-06, updated 2000-07-11Version 2

In a recent paper of Wolff the optimal decay of circular L^p means of compactly supported measures of finite energy was given for p>=2, with application to Falconer's distance problem. The question was then raised in that paper as to whether any non-trivial improvement to these estimates were available for p < 2. We answer this question in the negative.

Comments: The proof of the main result in this paper is incorrect, and this paper has been withdrawn
Categories: math.CA
Subjects: 42B10, 28A75
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