Hardy spaces and a Walsh model for bilinear cone operators |
| |
Authors: | John E. Gilbert Andrea R. Nahmod |
| |
Affiliation: | Department of Mathematics, University of Texas, Austin, Texas 78712-1082 ; Department of Mathematics, University of Texas, Austin, Texas 78712-1082 |
| |
Abstract: | The study of bilinear operators associated to a class of non-smooth symbols can be reduced to ther study of certain special bilinear cone operators to which a time frequency analysis using smooth wave-packets is performed. In this paper we prove that when smooth wave-packets are replaced by Walsh wave-packets the corresponding discrete Walsh model for the cone operators is not only -bounded, as Thiele has shown in his thesis for the Walsh model corresponding to the bilinear Hilbert transform, but actually improves regularity as it maps into a Hardy space. The same result is expected to hold for the special bilinear cone operators. |
| |
Keywords: | |
|
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 |
|
点击此处可从《Transactions of the American Mathematical Society》下载全文 |