Source: J. Math. Soc. Japan
Volume 63, Number 3
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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