An affine-invariant inequality for rational functions and applications in harmonic analysis

Dendrinos, S., Folch-Gabayet, M. and Wright, J. (2010) An affine-invariant inequality for rational functions and applications in harmonic analysis. Proceedings of the Edinburgh Mathematical Society, 53(3), pp. 639-655. (doi: 10.1017/S0013091509000364)

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Publisher's URL: http://dx.doi.org/10.1017/S0013091509000364

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Dendrinos, Dr Spyridon
Authors: Dendrinos, S., Folch-Gabayet, M., and Wright, J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Proceedings of the Edinburgh Mathematical Society
ISSN:0013-0915

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