Spaces defined by the Paley function
Sbornik. Mathematics, Tome 204 (2013) no. 7, pp. 937-957

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The paper is concerned with Haar and Rademacher series in symmetric spaces, and also with the properties of spaces defined by the Paley function. In particular, the symmetric hull of the space of functions with uniformly bounded Paley function is found. Bibliography: 27 titles.
Keywords: symmetric space, Haar functions, Rademacher functions, Paley function, real interpolation method.
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S. V. Astashkin; E. M. Semenov. Spaces defined by the Paley function. Sbornik. Mathematics, Tome 204 (2013) no. 7, pp. 937-957. http://geodesic.mathdoc.fr/item/SM_2013_204_7_a0/