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On some summability methods for power series in Hardy spaces \(H_p(D^n)\) - MaRDI portal

On some summability methods for power series in Hardy spaces \(H_p(D^n)\) (Q2880007)

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scientific article; zbMATH DE number 6022847
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English
On some summability methods for power series in Hardy spaces \(H_p(D^n)\)
scientific article; zbMATH DE number 6022847

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    10 April 2012
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    approximation of functions
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    averages
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    Hardy spaces
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    polydisk
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    On some summability methods for power series in Hardy spaces \(H_p(D^n)\) (English)
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    In the present paper, approximation of a function by its Bochner-Riesz averages is investigated. For the Hardy spaces \(H_p(D^n)\) sharp two-sided estimates of the approximation of a function by generalized \(l_1\)-Bochner-Riesz and Abel-Poisson averages are obtained.
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