|
|||||
 |
|
|
|
|
|
Dimension-free $L^p$
estimates for vectors of Riesz transforms associated with
orthogonal expansions
Błażej Wróbel |
|
Vol. 11 (2018), No. 3, 745–773
|
Abstract |
|
An explicit Bellman function is used to prove a bilinear embedding theorem for operators associated with general multidimensional orthogonal expansions on product spaces. This is then applied to obtain boundedness, , of appropriate vectorial Riesz transforms, in particular in the case of Jacobi polynomials. Our estimates for the norms of these Riesz transforms are both dimension-free and linear in . The approach we present allows us to avoid the use of both differential forms and general spectral multipliers. |
PDF Access Denied
However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/apde
We have not been able to recognize your IP address
18.206.14.36
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
Riesz transform, Bellman function, orthogonal expansion
|
Mathematical Subject Classification 2010
Primary: 42C10, 42A50, 33C50
|
Milestones
Received: 23 January 2017
Revised: 31 July 2017
Accepted: 23 September 2017
Published: 22 November 2017
|
Authors |
| Błażej Wróbel | |
| Mathematical Institute Universität Bonn Bonn Germany |
Instytut Matematyczny Uniwersytet Wrocławski Wrocław Poland |
|
