Hardy's inequalities for Hermite and Laguerre expansions revisited

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概要

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• We show that Hardy's inequalities for Laguerre expansions hold on the space L1(0, ∞) when the Laguerre parameters α are positive, and we prove that although the inequality holds on the real Hardy space H 1(0, ∞) if α = 0, it does not hold on L1(0, ∞). Further, Hardy's inequality for Hermite expansion is established on L1(0,∞). © 2011 The Mathematical Society of Japan.

• 2011-07-01

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