Jump to ContentJump to Main Navigation
Advances in AnalysisThe Legacy of Elias M. Stein$
Users without a subscription are not able to see the full content.

Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger

Print publication date: 2014

Print ISBN-13: 9780691159416

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691159416.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 24 February 2020

Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length

Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length

Chapter:
(p.346) Chapter Fourteen Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length
Source:
Advances in Analysis
Author(s):

Camil Muscalu

Terence Tao

Christoph Thiele

, Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, Stephen Wainger
Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691159416.003.0014

This chapter introduces two sets of theorems based on a study of the Littlewood–Paley boundedness properties of a tri-linear operator. It generalizes and proves similar estimates for multi-linear multipliers whose symbols are given by characteristic functions of simplexes of arbitrary length. The chapter introduces the so-called AKNS systems, which play an important role in nuclear physics, and describes their connection with certain operators. Then, the rest of the chapter is devoted to the proof of a third theorem, which has been derived from the first two. To conclude, the chapter also proves the “delicate Bessel” Lemma which plays an important role in the argument.

Keywords:   Littlewood–Paley boundedness, tri-linear operator, multi-linear multipliers, simplexes, AKNS systems, delicate Bessel

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.