Font Size: a A A

Bilinear Littlewood-Paley theory and square function estimates

Posted on:2007-04-16Degree:Ph.DType:Dissertation
University:University of Missouri - ColumbiaCandidate:Diestel, GeoffFull Text:PDF
GTID:1440390005467584Subject:Mathematics
Abstract/Summary:
This work is inspired by the recent resurgence in the study of multilinear operators in Fourier Analysis. Presented are examples and observations related to orthogonality for bilinear operators. Included are various Littlewood-Paley type decompositions, vector-valued estimates and a multilinear generalization of Fefferman's classic counterexample for convergence of Fourier series.
Keywords/Search Tags:Littlewood-paley, Multilinear, Fourier
Related items