UNIFORM L-p-IMPROVING FOR WEIGHTED AVERAGES ON CURVES

作者：Stovall Betsy^*

来源：Analysis & PDE, 2014, 7(5): 1109-1136.

DOI：10.2140/apde.2014.7.1109

• generalized Radon transform
• affine arclength

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

• 出版日期2014