Hardy's inequalities for Hermite and Laguerre expansions revisited
Yuichi KANJIN
Source: J. Math. Soc. Japan Volume 63, Number 3
(2011), 753-767.
Abstract
We show that Hardy's inequalities for Laguerre expansions hold on the space L1(0,∞) when the Laguerre parameters are positive, and we prove that although the inequality holds on the real Hardy space H1(0,∞) if = 0, it does not hold on L1(0,∞). Further, Hardy's inequality for Hermite expansion is established on L1(0,∞).
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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1312203797
Digital Object Identifier: doi:10.2969/jmsj/06330753
Zentralblatt MATH identifier: 05950718
Mathematical Reviews number (MathSciNet): MR2836741
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