Geodesic
Marcinkiewicz's interpolation theorem for Hardy-type spaces and its applications
Sbornik. Mathematics, Tome 215 (2024) no. 8, pp. 1091-1113 Cet article a éte moissonné depuis la source Math-Net.Ru

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A series of results similar to Marcinkiewicz's theorem on the interpolation of operators is put forward. The difference from the classical forms of this theorem is that spaces of integrable functions are replaced by some function classes that are extensions of various Hardy spaces. Some applications of these results to the extension of Carleson's embedding theorem and the Hardy–Littlewood inequalities for analytic functions in Hardy classes are presented. Bibliography: 41 titles.
Keywords: Marcinkiewicz's interpolation theorem, Lorentz space, Hardy-type space, Hardy–Littlewood inequality.
Mots-clés : nontangent maximal function, Carleson–Duren–Hörmander embedding theorem 
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V. G. Krotov. Marcinkiewicz's interpolation theorem for Hardy-type spaces and its applications. Sbornik. Mathematics, Tome 215 (2024) no. 8, pp. 1091-1113. http://geodesic.mathdoc.fr/item/SM_2024_215_8_a4/

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