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An affine-invariant inequality for rational functions and applications in harmonic analysis
Published online by Cambridge University Press: 12 August 2010
Abstract
We extend an affine-invariant inequality for vector polynomials established by Dendrinos and Wright to general rational functions. As a consequence we obtain sharp universal estimates for various problems in Euclidean harmonic analysis defined with respect to the so-called affine arc-length measure.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 3 , October 2010 , pp. 639 - 655
- Copyright
- Copyright © Edinburgh Mathematical Society 2010
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