AN AFFINE-INVARIANT INEQUALITY FOR RATIONAL FUNCTIONS AND APPLICATIONS IN HARMONIC ANALYSIS

作者:Dendrinos Spyridon*; Folch Gabayet Magali; Wright James
来源:Proceedings of the Edinburgh Mathematical Society, 2010, 53: 639-655.
DOI:10.1017/S0013091509000364

摘要

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.

  • 出版日期2010-10