Geodesic
Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces
Sbornik. Mathematics, Tome 207 (2016) no. 8, pp. 1159-1186 Cet article a éte moissonné depuis la source Math-Net.Ru

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A precise characterization of inequalities in weighted Lebesgue spaces with positive quasilinear integral operators of iterative type on the half-axis is given. All cases of positive integration parameters are treated, including the case of supremum. Applications to the solution of the well-known problem of the boundedness of the Hardy-Littlewood maximal operator in weighted Lorentz $\Gamma$-spaces are given. Bibliography: 41 titles.
Keywords: integral operator, weighted inequality, Lorentz space.
Mots-clés : Lebesgue space 
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D. V. Prokhorov; V. D. Stepanov. Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. Sbornik. Mathematics, Tome 207 (2016) no. 8, pp. 1159-1186. http://geodesic.mathdoc.fr/item/SM_2016_207_8_a6/

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