|
|||||
|
|
Characterization of $$H^1$$ H 1 Sobolev Spaces by Square Functions of Marcinkiewicz Type |
|
| Authors: | Sato Shuichi |
| Affiliation: | 1.Department of Mathematics, Faculty of Education, Kanazawa University, Kanazawa, 920-1192, Japan ; |
| Abstract: | We establish characterization of (H^1) Sobolev spaces by certain square functions of Marcinkiewicz type. The square functions are related to the Lusin area integrals. Also, in the one dimensional case, the non-periodic version of the function of Marcinkiewicz is applied to characterize weighted (H^1) Sobolev spaces. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |