|
|||||
 |
|
|
|
|
|
|
|
A bootstrapping
approach to jump inequalities and their applications
Mariusz Mirek, Elias M. Stein and Pavel Zorin-Kranich |
|
Vol. 13 (2020), No. 2, 527–558
|
Abstract |
|
The aim of this paper is to present an abstract and general approach to jump inequalities in harmonic analysis. Our principal conclusion is the refinement of -variational estimates, previously known for , to endpoint results for the jump quasiseminorm corresponding to . This is applied to the dimension-free results recently obtained by the first two authors in collaboration with Bourgain, and Wróbel, and also to operators of Radon type treated by Jones, Seeger, and Wright. |
PDF Access Denied
We have not been able to recognize your IP address
3.147.73.35
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
dimension-free estimate, jump inequality
|
Mathematical Subject Classification 2010
Primary: 42B25
Secondary: 42B20, 46B06
|
Milestones
Received: 29 August 2018
Revised: 23 December 2018
Accepted: 23 February 2019
Published: 19 March 2020
|
Authors |
| Mariusz Mirek | |
| Department of Mathematics Rutgers University Piscataway, NJ United States |
Instytut Matematyczny Uniwersytet Wrocławski Wrocław Poland |
| Elias M. Stein | |
| Department of Mathematics Princeton University Princeton, NJ United States |
|
| Pavel Zorin-Kranich | |
| Mathematisches Institut Universität Bonn Bonn Germany |
|
