The Square Variation of Rearranged Fourier Series
AMERICAN JOURNAL OF MATHEMATICS(2015)
摘要
We prove that there exists a rearrangement of the first N elements of the trigonometric system such that the L-2-norm of the square variation operator is at most O-epsilon(log(9/22+epsilon)(N)). This is an improvement over O(log(1/2)(N)) from the canonical ordering.
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