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Sawyer duality principle in grand Lebesgue spaces. (English. Russian original) Zbl 06892214

Dokl. Math. 97, No. 1, 18-19 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 2, 131-132 (2018).
Summary: The Sawyer duality principle is obtained for grand Lebesgue spaces on the unit interval, and the Hardy operators are shown to be bounded in these spaces.

MSC:

47-XX Operator theory
42-XX Harmonic analysis on Euclidean spaces
Full Text: DOI

References:

[1] C. Bennett and R. Sharpley, Interpolation of Operators (Academic, Boston, MA, 1988). · Zbl 0647.46057
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[4] Sawyer, E., No article title, Studia Math., 96, 145-158, (1990) · Zbl 0705.42014 · doi:10.4064/sm-96-2-145-158
[5] Gogatishvili, A.; Stepanov, V. D., No article title, Russ. Math. Surv., 68, 597-664, (2013) · Zbl 1288.26018 · doi:10.1070/RM2013v068n04ABEH004849
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