Abstract
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.
Similar content being viewed by others
References
C. Bennett and R. Sharpley, Interpolation of Operators (Academic, Boston, MA, 1988).
A. Fiorenza, Collect. Math. 51, 131–148 (2000).
G. Di Fratta and A. Fiorenza, Nonlinear Anal. 70, 2582–2592 (2009).
E. Sawyer, Studia Math. 96, 145–158 (1990).
A. Gogatishvili and V. D. Stepanov, Russ. Math. Surv. 68 (4), 597–664 (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © P. Jain, A.P. Singh, M. Singh, V.D. Stepanov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 478, No. 2, pp. 131–132.
Rights and permissions
About this article
Cite this article
Jain, P., Singh, A.P., Singh, M. et al. Sawyer Duality Principle in Grand Lebesgue Spaces. Dokl. Math. 97, 18–19 (2018). https://doi.org/10.1134/S1064562418010064
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562418010064