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Concerning certain classical operators occurring in multivariate harmonic analysis and not of weak type (1,1) - MaRDI portal

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Concerning certain classical operators occurring in multivariate harmonic analysis and not of weak type (1,1) (Q1889702)

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scientific article; zbMATH DE number 2121456
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English
Concerning certain classical operators occurring in multivariate harmonic analysis and not of weak type (1,1)
scientific article; zbMATH DE number 2121456

    Statements

    Concerning certain classical operators occurring in multivariate harmonic analysis and not of weak type (1,1) (English)
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    7 December 2004
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    Extending the classical Kolmogorov's results to the multivariate case, the author pays much attention to generalizations of classical operators which are not of weak type (1,1). Some related results are given. Besides multiple series in the trigonometric system, those in the multiple Fourier-Haar system are discussed.
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    multivariate harmonic analysis
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    multiple Fourier series
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    Cesàro means
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    multiple Schwarz operator
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    Hardy-Littlewood operator
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    Abel-Poisson means
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