A prediction problem in L2(w)
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概要
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For a nonnegative integrable weight function w on the unit circleT, we provide an expression for p = 2, in terms of the series coefficients ofthe outer function of w, for the weighted Lp distance inff ∫T |1 − f|pwdμ,|where μ is the normalized Lebesgue measure and f ranges over trigonometricpolynomials with frequencies in [{. . . ,−3,−2,−1}\{−n}]∪{m}, m ≥ 0, n ≥ 2.The problem is open for p ≠2.
- American Mathematical Societyの論文
American Mathematical Society | 論文
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