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Proceedings of the American Mathematical Society

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Hardy's inequalities with indices less than $ 1$


Authors: Paul R. Beesack and Hans P. Heinig
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0627685-7
Keywords: Inequality, Hardy operator, weight function, $ {L^p}$-spaces
Article copyright: © Copyright 1981 American Mathematical Society

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