Vol. 7, No. 5, 2014

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 7, 2247–2618
Issue 6, 1871–2245
Issue 5, 1501–1870
Issue 4, 1127–1500
Issue 3, 757–1126
Issue 2, 379–756
Issue 1, 1–377

Volume 16, 10 issues

Volume 15, 8 issues

Volume 14, 8 issues

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1948-206X (online)
ISSN 2157-5045 (print)
 
Author index
To appear
 
Other MSP journals
Uniform $L^p$-improving for weighted averages on curves

Betsy Stovall

Vol. 7 (2014), No. 5, 1109–1136
Abstract

We define variable parameter analogues of the affine arclength measure on curves and prove near-optimal Lp-improving estimates for associated multilinear generalized Radon transforms. Some of our results are new even in the convolution case.

Keywords
generalized Radon transform, affine arclength
Mathematical Subject Classification 2010
Primary: 42B99
Milestones
Received: 27 November 2013
Accepted: 9 June 2014
Published: 27 September 2014
Authors
Betsy Stovall
Department of Mathematics
University of Wisconsin
480 Lincoln Dr.
Madison, WI 53706-1325
United States