×

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
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] C. Bennett and R. Sharpley, Interpolation of Operators (Academic, Boston, MA, 1988). · Zbl 0647.46057
[2] Fiorenza, A., No article title, Collect. Math., 51, 131-148, (2000)
[3] Fratta, G.; Fiorenza, A., No article title, Nonlinear Anal., 70, 2582-2592, (2009) · Zbl 1184.46032
[4] Sawyer, E., No article title, Studia Math., 96, 145-158, (1990) · Zbl 0705.42014
[5] Gogatishvili, A.; Stepanov, V. D., No article title, Russ. Math. Surv., 68, 597-664, (2013) · Zbl 1288.26018
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.