Jain, Pankaj; Singh, Arun Pal; Singh, Monika; Stepanov, Vladimir D. Sawyer’s duality principle for grand Lebesgue spaces. (English) Zbl 1421.46027 Math. Nachr. 292, No. 4, 841-849 (2019). Summary: The aim of this paper is to extend Sawyer’s duality principle from the cone of decreasing functions of the Lebesgue space to the cone of decreasing functions of the grand Lebesgue space and to prove the boundedness of classical Hardy operators in the grand Lebesgue spaces. Cited in 9 Documents MSC: 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 26D10 Inequalities involving derivatives and differential and integral operators Keywords:associate space; duality principle; grand Lebesgue space; small Lebesgue space PDFBibTeX XMLCite \textit{P. Jain} et al., Math. Nachr. 292, No. 4, 841--849 (2019; Zbl 1421.46027) Full Text: DOI