Hardy integral estimates for the Laplace transform

Bloom, Steven

doi:10.1090/S0002-9939-1992-1094497-X

Hardy integral estimates for the Laplace transform
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by Steven Bloom PDF

Proc. Amer. Math. Soc. 116 (1992), 417-426 Request permission

Abstract:

Weighted norm inequalities for the Laplace transform are obtained by reducing the Laplace operator to the Hardy operator. The conditions obtained include necessary and sufficient conditions when one of the weights is doubling, including, in particular, all the power weights.

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Hardy’s inequalities with weights

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