A note on the Hardy inequality
Keywords:
operador Hardy, weight function, conjugate operator, conjugate exponent, Holder inequality.Abstract
In this note we do a commentary on the famous Hardy inequality for both the discrete case to the continuous case and presented some of their generalizations. We show the classic version for the continuous case and through an alternative approach is shown in detail a recent version of this inequality.
References
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A. Kufner, L. Maligranda and L. Pearson The Prehistory of the Hardy Inequality. MAA. 113, 715-732. 2006.
A. Kufner, L. E. Pearson and A. Wedesting, Weighted Inequalities of Hardy Type. World Scientific Publishing Co, Singapore, New Jersey. London. Hong Kong, 2003.
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F. Marcellán, Y. Quintana and A. Urieles, On the Pollard decomposition method applied to some Jacobi-Sobolev expansions. Turkish J. Math. 37 (6), 934-948. 2013.
B. Opic and A. Kufner, Hardy-Type Inequalities. Pitman Research Notes in Mathematics Series, Vol 211, Longman Scientific and Technical Harlow, 1990.
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