Boundedness of a class of bi-parameter square functions in the upper half-space |
| |
| Authors: | Henri Martikainen |
| |
| Institution: | Département de Mathématiques, Bâtiment 425, Faculté des Sciences d''Orsay, Université Paris-Sud 11, F-91405, Orsay Cedex, France |
| |
| Abstract: | We consider a class of bi-parameter kernels and related square functions in the upper half-space, and give an efficient proof of a boundedness criterion for them. The proof uses modern probabilistic averaging methods and is based on controlling double Whitney averages over good cubes. |
| |
| Keywords: | 42B20 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
