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- W2950184964 abstract "For 1<p<infty, and weight w in A_p, and function f in L^p(w), we show that the r-variation of the Walsh-Fourier sums are finite, for r sufficiently large as function of w. (That r is a function of w is necessary.) This strengthens a result of Hunt-Young and is a weighted extension of a variation norm Carleson theorem of Oberlin-Seeger-Tao-Thiele-Wright. The proof uses phase plane analysis and a weighted extension of a variational inequality of Lepingle." @default.
- W2950184964 created "2019-06-27" @default.
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- W2950184964 date "2011-12-07" @default.
- W2950184964 modified "2023-10-17" @default.
- W2950184964 title "Weighted bounds for variational Walsh-Fourier series" @default.
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- W2950184964 doi "https://doi.org/10.48550/arxiv.1112.1744" @default.
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