DISCRETE FRACTIONAL RADON TRANSFORMS AND QUADRATIC FORMS

We consider discrete analogues of fractional Radon transforms involving integration over paraboloids defined by positive definite quadratic forms. We prove sharp results for this class of discrete operators in all dimensions, providing necessary and sufficient conditions for them to extend to bounde...

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Bibliographic Details
Main Author: Pierce, L
Format: Journal article
Language:English
Published: 2012

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