International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 62909, 13 pages
doi:10.1155/IJMMS/2006/62909

Universal series by trigonometric system in weighted Lμ1 spaces

S. A. Episkoposian

Chair of Higher Mathematics, Faculty of Physics, Yerevan State University, Alex Manoogian street 1, Yerevan 375049, Armenia

Received 17 April 2006; Accepted 9 November 2006

Copyright © 2006 S. A. Episkoposian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the question of existence of trigonometric series universal in weighted Lμ1[0, 2π] spaces with respect to rearrangements and in usual sense.