|
|||||
|
|
Equivalent quasi-norms on Lorentz spaces |
|
| Authors: | David E. Edmunds Bohumí r Opic |
| Affiliation: | Centre for Mathematical Analysis and Its Applications, University of Sussex, Falmer, Brighton BN1 9QH, England ; Mathematical Institute, Academy of Sciences of the Czech Republic, Zitná 25, 115~67 Praha 1, Czech Republic |
| Abstract: | We give new characterizations of Lorentz spaces by means of certain quasi-norms which are shown to be equivalent to the classical ones. |
| Keywords: | Lorentz spaces equivalent quasi-norms weighted norm inequalities fractional maximal operators Riesz potentials Hilbert transform |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |