On discrete fractional integral operators and mean values of Weyl sums

In this paper, we prove new ℓp→ℓq bounds for a discrete fractional integral operator by applying techniques motivated by the circle method of Hardy and Littlewood to the Fourier multiplier of the operator. From a different perspective, we describe explicit interactions between the Fourier multiplier...

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Bibliographic Details
Main Author: Pierce, L
Format: Journal article
Language:English
Published: 2011