An extension of the Hardy-Littlewood inequality
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- by M. K. Kwong and A. Zettl PDF
- Proc. Amer. Math. Soc. 77 (1979), 117-118 Request permission
Abstract:
The Hardy-Littlewood inequality is extended from ${L^2}$ to $L_w^2$ where w is any positive nondecreasing function.References
- Richard Beals, Topics in operator theory, University of Chicago Press, Chicago, Ill.-London, 1971. MR 0270172
- V. N. Gabušin, Inequalities for norms of a function and its derivatives in $L_{p}$-metrics, Mat. Zametki 1 (1967), 291–298 (Russian). MR 206700
- G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, at the University Press, 1952. 2d ed. MR 0046395
- Tosio Kato, On an inequality of Hardy, Littlewood, and Pólya, Advances in Math. 7 (1971), 217–218. MR 293454, DOI 10.1016/S0001-8708(71)80002-6
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 117-118
- MSC: Primary 26D15
- DOI: https://doi.org/10.1090/S0002-9939-1979-0539642-0
- MathSciNet review: 539642