Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-02T22:57:01.723Z Has data issue: false hasContentIssue false
  • English
  • Français

Restriction results for multilinear multipliers in weighted settings

Published online by Cambridge University Press:  02 April 2015

Salvador Rodríguez-López
Salvador Rodríguez-López*
Affiliation:
Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UK, ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We obtain restriction results of de Leeuw’s type for maximal operators defined through multilinear Fourier multipliers of either strong or weak type acting on weighted Lebesgue spaces. We give some applications of our development. In particular, we obtain periodic weighted results for Coifman–Meyer-, Hörmander- and Hörmander–Mihlin-type multilinear multipliers.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 2 , April 2015 , pp. 391 - 409
Copyright
Copyright © Royal Society of Edinburgh 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)