On real characters
Hans Heilbronn (1936)
Acta Arithmetica
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Hans Heilbronn (1936)
Acta Arithmetica
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D. Burgess (1975)
Acta Arithmetica
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M. D. Gould (1978)
Annales de l'I.H.P. Physique théorique
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Roselle, D.P. (1966)
Portugaliae mathematica
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Achim Zulauf (1956-1958)
Compositio Mathematica
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Hodges, John H. (1964)
Portugaliae mathematica
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Charles Wells (1967)
Acta Arithmetica
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Chang-Pao Chen, Dah-Chin Luor (2000)
Studia Mathematica
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Let s* denote the maximal function associated with the rectangular partial sums of a given double function series with coefficients . The following generalized Hardy-Littlewood inequality is investigated: , where ξ̅=max(ξ,1), 0 < p < ∞, and μ is a suitable positive Borel measure. We give sufficient conditions on and μ under which the above Hardy-Littlewood inequality holds. Several variants of this inequality are also examined. As a consequence, the ||·||p,μ-convergence property...