Hardy’s inequalities with indices less than $1$
HTML articles powered by AMS MathViewer
- by Paul R. Beesack and Hans P. Heinig PDF
- Proc. Amer. Math. Soc. 83 (1981), 532-536 Request permission
Abstract:
In this paper Hardy inequalities are proved between weighted ${L^p}$, ${L^q}$ spaces with indices $p$, $q$ less than 1. The results are almost characterizations of those weights for which weighted estimates hold.References
- Paul R. Beesack, Hardy’s inequality and its extensions, Pacific J. Math. 11 (1961), 39–61. MR 121449
- J. Scott Bradley, Hardy inequalities with mixed norms, Canad. Math. Bull. 21 (1978), no. 4, 405–408. MR 523580, DOI 10.4153/CMB-1978-071-7 G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, 1959.
- Hans P. Heinig, Variations of Hardy’s inequality, Real Anal. Exchange 5 (1979/80), no. 1, 61–81. MR 557964
- Benjamin Muckenhoupt, Hardy’s inequality with weights, Studia Math. 44 (1972), 31–38. MR 311856, DOI 10.4064/sm-44-1-31-38
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 532-536
- MSC: Primary 26D15
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627685-7
- MathSciNet review: 627685