A remark on circular means of Fourier transforms of measures

Details A remark on circular means of Fourier transforms of measures A remark on circular means of Fourier transforms of measures

2000-01-06

arxiv.org/abs/math/0001030v2

Mathematics

Classical Analysis and ODEs

The proof of the main result in this paper is incorrect, and this paper has been withdrawn

Scientific paper

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.

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