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Two-parameter Hardy-Littlewood inequality and its variants. (English) Zbl 1036.42014
The generalized Hardy-Littlewood inequality is proved for the maximal function associated with the rectangular partial sums of a given double function series.
MSC:
42B25 Maximal functions, Littlewood-Paley theory
26D15 Inequalities for sums, series and integrals
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
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