|
|||||
|
|
A hierarchy of thin sets related to the boundedness of trigonometric series |
|
| Authors: | Peter Elias |
| Affiliation: | Mathematical Institute, Slovak Academy of Sciences, Jesenná 5, 041 54 Kosice, Slovakia |
| Abstract: | We study the family |
| Keywords: | Trigonometric thin sets N$_0$-sets B$_0$-sets uniform boundedness |
| 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 | |
of the sets on which some series of the form 
is uniformly bounded. We show that the families 
of all sets admitting the boundary 
form a hierarchy which is incontinuous with respect to the operations of intersection and union.