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- W2023474218 abstract "Abstract A general summability method, the so called θ-summability is considered for multi-dimensional Fourier series, where θ is in the Wiener algebra W (C,ℓ 1 )( $mathbb{R}$ d ). It is based on the use of Wiener amalgam spaces, weighted Feichtinger's algebra, Herz and Hardy spaces. Under some conditions on θ, it is proved that the maximal operator of the θ-means is bounded from the H p Hardy space to L p (or H p ). This implies some norm and almost everywhere convergence results for the θ-means. Large number of special cases of the θ-summation are considered." @default.
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- W2023474218 date "2008-09-01" @default.
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- W2023474218 title "Wiener amalgams, Hardy spaces and summability of Fourier series" @default.
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- W2023474218 doi "https://doi.org/10.1017/s0305004108001448" @default.
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